76115664 has 180 divisors, whose sum is σ = 237544320. Its totient is φ = 22717440.

The previous prime is 76115651. The next prime is 76115687. The reversal of 76115664 is 46651167.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (30240) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1290067 + ... + 1290125.

Almost surely, 2^76115664 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 76115664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118772160).

76115664 is an abundant number, since it is smaller than the sum of its proper divisors (161428656).

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

76115664 is a wasteful number, since it uses less digits than its factorization.

76115664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 76115664 is about 8724.4291503800. The cubic root of 76115664 is about 423.7971320953.

The spelling of 76115664 in words is "seventy-six million, one hundred fifteen thousand, six hundred sixty-four".