76868160 has 56 divisors (see below), whose sum is σ = 244059456. Its totient is φ = 20497920.

The previous prime is 76868159. The next prime is 76868161. The reversal of 76868160 is 6186867.

It is an interprime number because it is at equal distance from previous prime (76868159) and next prime (76868161).

It is not an unprimeable number, because it can be changed into a prime (76868161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39076 + ... + 40995.

Almost surely, 2^76868160 is an apocalyptic number.

It is an amenable number.

76868160 is an abundant number, since it is smaller than the sum of its proper divisors (167191296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76868160 is a wasteful number, since it uses less digits than its factorization.

76868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80091 (or 80081 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 76868160 is about 8767.4488877894. The cubic root of 76868160 is about 425.1891384216.

It can be divided in two parts, 76868 and 160, that added together give a triangular number (77028 = T₃₉₂).

The spelling of 76868160 in words is "seventy-six million, eight hundred sixty-eight thousand, one hundred sixty".