 800 (number)

This article is about the number 800. For the Common Era Year 800, see 800. For other uses, see 800 (disambiguation)
800 (eight hundred) is the natural number following 799 and preceding 801.
Cardinal 800
eight hundredOrdinal 800th
eight hundredthFactorization Roman numeral DCCC Roman numeral (Unicode) DCCC, dccc Binary 1100100000 Octal 1440 Duodecimal 568 Hexadecimal 320 It is the sum of four consecutive primes (193 + 197 + 199 + 211). It is a Harshad number.
801 = 3^{2} × 89, Harshad number
802 = 2 × 401, sum of eight consecutive primes (83 + 89 + 97 + 101 + 103 + 107 + 109 + 113), nontotient
803 = 11 × 73, sum of three consecutive primes (263 + 269 + 271), sum of nine consecutive primes (71 + 73 + 79 + 83 + 89 + 97 + 101 + 103 + 107), Harshad number
804 = 2^{2} × 3 × 67, nontotient, Harshad number
805 = 5 × 7 × 23
806 = 2 × 13 × 31, sphenic number, nontotient, totient sum for first 51 integers
807 = 3 × 269
808 = 2^{3} × 101, strobogrammatic number
809 prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part
810 = 2 × 3^{4} × 5, Harshad number
811 prime number, sum of five consecutive primes (151 + 157 + 163 + 167 + 173), Chen prime, Mertens function(811) returns 0
812 = 2^{2} × 7 × 29, pronic number, Mertens function(812) returns 0
813 = 3 × 271
814 = 2 × 11 × 37, sphenic number, Mertens function(814) returns 0, nontotient
815 = 5 × 163
816 = 2^{4} × 3 × 17, tetrahedral number, member of the Padovan sequence, Zuckerman number
817 = 19 × 43, sum of three consecutive primes (269 + 271 + 277), centered hexagonal number
818 = 2 × 409, nontotient
819 = 3^{2} × 7 × 13, square pyramidal number
820 = 2^{2} × 5 × 41, triangular number, Harshad number
821 prime number, twin prime, Eisenstein prime with no imaginary part, prime quadruplet with 823, 827, 829
822 = 2 × 3 × 137, sum of twelve consecutive primes (43 + 47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97), sphenic number, member of the Mian–Chowla sequence
823 prime number, twin prime, Mertens function(823) returns 0, prime quadruplet with 821, 827, 829
824 = 2^{3} × 103, sum of ten consecutive primes (61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101 + 103), Mertens function(824) returns 0, nontotient
825 = 3 × 5^{2} × 11, Smith number, Mertens function(825) returns 0, Harshad number
826 = 2 × 7 × 59, sphenic number
827 prime number, twin prime, part of prime quadruplet with {821, 823, 829}, sum of seven consecutive primes (103 + 107 + 109 + 113 + 127 + 131 + 137), Chen prime, Eisenstein prime with no imaginary part, strictly nonpalindromic number
828 = 2^{2} × 3^{2} × 23, Harshad number
829 prime number, twin prime, part of prime quadruplet with {827, 823, 821}, sum of three consecutive primes (271 + 277 + 281), Chen prime
830 = 2 × 5 × 83, sphenic number, sum of four consecutive primes (197 + 199 + 211 + 223), nontotient, totient sum for first 52 integers
831 = 3 × 277
832 = 2^{6} × 13, Harshad number
833 = 7^{2} × 17
834 = 2 × 3 × 139, sphenic number, sum of six consecutive primes (127 + 131 + 137 + 139 + 149 + 151), nontotient
835 = 5 × 167, Motzkin number
836 = 2^{2} × 11 × 19, weird number
837 = 3^{3} × 31
838 = 2 × 419
839 prime number, safe prime, sum of five consecutive primes (157 + 163 + 167 + 173 + 179), Chen prime, Eisenstein prime with no imaginary part, highly cototient number
840 = 2^{3} × 3 × 5 × 7, highly composite number, smallest numbers divisible by the numbers 1 to 8, sparsely totient number, Harshad number in base 2 through base 10
841 = 29^{2} = 20^{2} + 21^{2}, sum of three consecutive primes (277 + 281 + 283), sum of nine consecutive primes (73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 109), centered square number, centered heptagonal number, centered octagonal number
842 = 2 × 421, nontotient
843 = 3 × 281
844 = 2^{2} × 211, nontotient
845 = 5 × 13^{2}
846 = 2 × 3^{2} × 47, sum of eight consecutive primes (89 + 97 + 101 + 103 + 107 + 109 + 113 + 127), nontotient, Harshad number
847 = 7 × 11^{2}
848 = 2^{4} × 53
849 = 3 × 283, Mertens function(849) returns 0
850 = 2 × 5^{2} × 17, Mertens function(850) returns 0, nontotient, the maximum possible Fair Isaac credit score.
851 = 23 × 37
852 = 2^{2} × 3 × 71, Smith number
853 prime number, Mertens function(853) returns 0, average of first 853 prime numbers is an integer (sequence A045345 in OEIS), strictly nonpalindromic number
854 = 2 × 7 × 61, nontotient
855 = 3^{2} × 5 × 19, decagonal number, centered cube number
856 = 2^{3} × 107, nonagonal number, centered pentagonal number
857 prime number, sum of three consecutive primes (281 + 283 + 293), Chen prime, Eisenstein prime with no imaginary part
858 = 2 × 3 × 11 × 13, Giuga number
859 prime number
860 = 2^{2} × 5 × 43, sum of four consecutive primes (199 + 211 + 223 + 227)
861 = 3 × 7 × 41, sphenic number, triangular number, hexagonal number, Smith number
862 = 2 × 431
863 prime number, safe prime, sum of five consecutive primes (163 + 167 + 173 + 179 + 181), sum of seven consecutive primes (107 + 109 + 113 + 127 + 131 + 137 + 139), Chen prime, Eisenstein prime with no imaginary part
864 = 2^{5} × 3^{3}, sum of a twin prime (431 + 433), sum of six consecutive primes (131 + 137 + 139 + 149 + 151 + 157), Harshad number
865 = 5 × 173
866 = 2 × 433, nontotient
867 = 3 × 17^{2}
868 = 2^{2} × 7 × 31, nontotient
869 = 11 × 79, Mertens function(869) returns 0
870 = 2 × 3 × 5 × 29, sum of ten consecutive primes (67 + 71 + 73 + 79 + 83 + 89 + 97 + 101 + 103 + 107), pronic number, nontotient, sparsely totient number, Harshad number
This number is the magic constant of n×n normal magic square and nqueens problem for n = 12.
871 = 13 × 67
872 = 2^{3} × 109, nontotient
873 = 3^{2} × 97, sum of the first six factorials from 1
874 = 2 × 19 × 23, sum of the first twentythree primes, sum of the first seven factorials from 0, nontotient, Harshad number
875 = 5^{3} × 7
876 = 2^{2} × 3 × 73
877 prime number, Bell number, Chen prime, Mertens function(877) returns 0, strictly nonpalindromic number.
878 = 2 × 439, nontotient
879 = 3 × 293
880 = 2^{4} × 5 × 11, Harshad number; 148gonal number; the number of n×n magic squares for n = 4.
881 prime number, twin prime, sum of nine consecutive primes (79 + 83 + 89 + 97 + 101 + 103 + 107 + 109 + 113), Chen prime, Eisenstein prime with no imaginary part
882 = 2 × 3^{2} × 7^{2}, Harshad number, totient sum for first 53 integers
883 prime number, twin prime, sum of three consecutive primes (283 + 293 + 307), Mertens function(883) returns 0
884 = 2^{2} × 13 × 17, Mertens function(884) returns 0
885 = 3 × 5 × 59, sphenic number
886 = 2 × 443, Mertens function(886) returns 0
887 prime number followed by primal gap of 20, safe prime, Chen prime, Eisenstein prime with no imaginary part
888 = 2^{3} × 3 × 37, sum of eight consecutive primes (97 + 101 + 103 + 107 + 109 + 113 + 127 + 131), Harshad number.
889 = 7 × 127, Mertens function(889) returns 0
890 = 2 × 5 × 89, sphenic number, sum of four consecutive primes (211 + 223 + 227 + 229), nontotient
891 = 3^{4} × 11, sum of five consecutive primes (167 + 173 + 179 + 181 + 191), octahedral number
892 = 2^{2} × 223, nontotient
893 = 19 × 47, Mertens function(893) returns 0
894 = 2 × 3 × 149, sphenic number, nontotient
895 = 5 × 179, Smith number, Woodall number, Mertens function(895) returns 0
896 = 2^{7} × 7, sum of six consecutive primes (137 + 139 + 149 + 151 + 157 + 163), Mertens function(896) returns 0
897 = 3 × 13 × 23, sphenic number
898 = 2 × 449, Mertens function(898) returns 0, nontotient
899 = 29 × 31
Categories: Integers
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