76538112 has 144 divisors (see below), whose sum is σ = 243317760. Its totient is φ = 20883456.

The previous prime is 76538087. The next prime is 76538113. The reversal of 76538112 is 21183567.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (76538113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123339 + ... + 123957.

Almost surely, 2^76538112 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 76538112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121658880).

76538112 is an abundant number, since it is smaller than the sum of its proper divisors (166779648).

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

76538112 is a wasteful number, since it uses less digits than its factorization.

76538112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 654 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 76538112 is about 8748.6062890040. The cubic root of 76538112 is about 424.5797220141.

The spelling of 76538112 in words is "seventy-six million, five hundred thirty-eight thousand, one hundred twelve".