76086528 has 72 divisors (see below), whose sum is σ = 231446208. Its totient is φ = 21737472.

The previous prime is 76086497. The next prime is 76086539. The reversal of 76086528 is 82568067.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 76086528.

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, 1701 + ... + 12452.

Almost surely, 2^76086528 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 76086528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115723104).

76086528 is an abundant number, since it is smaller than the sum of its proper divisors (155359680).

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

76086528 is a wasteful number, since it uses less digits than its factorization.

76086528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14179 (or 14165 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 76086528 is about 8722.7591964928. The cubic root of 76086528 is about 423.7430506774.

The spelling of 76086528 in words is "seventy-six million, eighty-six thousand, five hundred twenty-eight".