76468864 has 32 divisors (see below), whose sum is σ = 152951040. Its totient is φ = 38081280.

The previous prime is 76468837. The next prime is 76468867. The reversal of 76468864 is 46886467.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×76468864² = 11694974322900992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76468867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35169 + ... + 37279.

It is an arithmetic number, because the mean of its divisors is an integer number (4779720).

Almost surely, 2^76468864 is an apocalyptic number.

It is an amenable number.

76468864 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

76468864 is a wasteful number, since it uses less digits than its factorization.

76468864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2396 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 49.

The square root of 76468864 is about 8744.6477344716. The cubic root of 76468864 is about 424.4516369454.

The spelling of 76468864 in words is "seventy-six million, four hundred sixty-eight thousand, eight hundred sixty-four".