76564656 has 120 divisors (see below), whose sum is σ = 255720240. Its totient is φ = 21869568.

The previous prime is 76564643. The next prime is 76564681. The reversal of 76564656 is 65646567.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19360 + ... + 22976.

It is an arithmetic number, because the mean of its divisors is an integer number (2131002).

Almost surely, 2^76564656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76564656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127860120).

76564656 is an abundant number, since it is smaller than the sum of its proper divisors (179155584).

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

76564656 is a wasteful number, since it uses less digits than its factorization.

76564656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648 (or 3629 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 76564656 is about 8750.1231991327. The cubic root of 76564656 is about 424.6287988346.

The spelling of 76564656 in words is "seventy-six million, five hundred sixty-four thousand, six hundred fifty-six".