76716864 has 168 divisors, whose sum is σ = 256763520. Its totient is φ = 21445632.

The previous prime is 76716841. The next prime is 76716923. The reversal of 76716864 is 46861767.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213517 + ... + 213875.

Almost surely, 2^76716864 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 76716864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128381760).

76716864 is an abundant number, since it is smaller than the sum of its proper divisors (180046656).

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

76716864 is a wasteful number, since it uses less digits than its factorization.

76716864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 424 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 76716864 is about 8758.8163583900. The cubic root of 76716864 is about 424.9099952427.

It can be divided in two parts, 7671 and 6864, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 76716864 in words is "seventy-six million, seven hundred sixteen thousand, eight hundred sixty-four".