76565088 has 120 divisors (see below), whose sum is σ = 228080160. Its totient is φ = 25194240.

The previous prime is 76565077. The next prime is 76565119. The reversal of 76565088 is 88056567.

76565088 is a `hidden beast` number, since 7 + 6 + 565 + 0 + 88 = 666.

It is a congruent number.

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, 282393 + ... + 282663.

It is an arithmetic number, because the mean of its divisors is an integer number (1900668).

Almost surely, 2^76565088 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 76565088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114040080).

76565088 is an abundant number, since it is smaller than the sum of its proper divisors (151515072).

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

76565088 is a wasteful number, since it uses less digits than its factorization.

76565088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 76565088 is about 8750.1478844646. The cubic root of 76565088 is about 424.6295974594.

The spelling of 76565088 in words is "seventy-six million, five hundred sixty-five thousand, eighty-eight".