76638016 has 56 divisors (see below), whose sum is σ = 187187840. Its totient is φ = 30316032.

The previous prime is 76637993. The next prime is 76638043. The reversal of 76638016 is 61083667.

It is a tau number, because it is divible by the number of its divisors (56).

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, 756 + ... + 12403.

It is an arithmetic number, because the mean of its divisors is an integer number (3342640).

Almost surely, 2^76638016 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 76638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93593920).

76638016 is an abundant number, since it is smaller than the sum of its proper divisors (110549824).

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

76638016 is a wasteful number, since it uses less digits than its factorization.

76638016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13191 (or 13181 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 76638016 is about 8754.3141364701. The cubic root of 76638016 is about 424.7643741188.

The spelling of 76638016 in words is "seventy-six million, six hundred thirty-eight thousand, sixteen".