76565960 has 64 divisors (see below), whose sum is σ = 184258800. Its totient is φ = 28532736.

The previous prime is 76565911. The next prime is 76565981. The reversal of 76565960 is 6956567.

It can be written as a sum of positive squares in 8 ways, for example, as 69522244 + 7043716 = 8338^2 + 2654^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73604 + ... + 74636.

Almost surely, 2^76565960 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 76565960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92129400).

76565960 is an abundant number, since it is smaller than the sum of its proper divisors (107692840).

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

76565960 is a wasteful number, since it uses less digits than its factorization.

76565960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 44.

The square root of 76565960 is about 8750.1977120520. The cubic root of 76565960 is about 424.6312094892.

The spelling of 76565960 in words is "seventy-six million, five hundred sixty-five thousand, nine hundred sixty".