76860576 has 120 divisors (see below), whose sum is σ = 243539604. Its totient is φ = 23639040.

The previous prime is 76860541. The next prime is 76860583. The reversal of 76860576 is 67506867.

76860576 is a `hidden beast` number, since 76 + 8 + 6 + 0 + 576 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75272976 + 1587600 = 8676^2 + 1260^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32556 + ... + 34836.

Almost surely, 2^76860576 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 76860576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121769802).

76860576 is an abundant number, since it is smaller than the sum of its proper divisors (166679028).

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

76860576 is a wasteful number, since it uses less digits than its factorization.

76860576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 76860576 is about 8767.0163681836. The cubic root of 76860576 is about 425.1751545629.

The spelling of 76860576 in words is "seventy-six million, eight hundred sixty thousand, five hundred seventy-six".