76548864 has 144 divisors (see below), whose sum is σ = 241355520. Its totient is φ = 21073920.

The previous prime is 76548833. The next prime is 76548883. The reversal of 76548864 is 46884567.

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

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, 155659 + ... + 156149.

It is an arithmetic number, because the mean of its divisors is an integer number (1676080).

Almost surely, 2^76548864 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 76548864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120677760).

76548864 is an abundant number, since it is smaller than the sum of its proper divisors (164806656).

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

76548864 is a wasteful number, since it uses less digits than its factorization.

76548864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 532 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 76548864 is about 8749.2207653025. The cubic root of 76548864 is about 424.5996025996.

The spelling of 76548864 in words is "seventy-six million, five hundred forty-eight thousand, eight hundred sixty-four".