76566864 has 60 divisors (see below), whose sum is σ = 217430528. Its totient is φ = 23200320.

The previous prime is 76566851. The next prime is 76566871. The reversal of 76566864 is 46866567.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 784 + ... + 12399.

Almost surely, 2^76566864 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 76566864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108715264).

76566864 is an abundant number, since it is smaller than the sum of its proper divisors (140863664).

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

76566864 is a wasteful number, since it uses less digits than its factorization.

76566864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13216 (or 13199 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 76566864 is about 8750.2493678752. The cubic root of 76566864 is about 424.6328806631.

The spelling of 76566864 in words is "seventy-six million, five hundred sixty-six thousand, eight hundred sixty-four".