76529664 has 120 divisors (see below), whose sum is σ = 228058320. Its totient is φ = 25362432.

The previous prime is 76529659. The next prime is 76529683. The reversal of 76529664 is 46692567.

Its product of digits (544320) is a multiple of the sum of its prime factors (210).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442282 + ... + 442454.

It is an arithmetic number, because the mean of its divisors is an integer number (1900486).

Almost surely, 2^76529664 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 76529664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114029160).

76529664 is an abundant number, since it is smaller than the sum of its proper divisors (151528656).

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

76529664 is an equidigital number, since it uses as much as digits as its factorization.

76529664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 178 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 76529664 is about 8748.1234559190. The cubic root of 76529664 is about 424.5641002480.

The spelling of 76529664 in words is "seventy-six million, five hundred twenty-nine thousand, six hundred sixty-four".