76015680 has 112 divisors (see below), whose sum is σ = 259957824. Its totient is φ = 18708480.

The previous prime is 76015663. The next prime is 76015733. The reversal of 76015680 is 8651067.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9435 + ... + 15525.

It is an arithmetic number, because the mean of its divisors is an integer number (2321052).

Almost surely, 2^76015680 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 76015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129978912).

76015680 is an abundant number, since it is smaller than the sum of its proper divisors (183942144).

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

76015680 is a wasteful number, since it uses less digits than its factorization.

76015680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6124 (or 6114 counting only the distinct ones).

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

The square root of 76015680 is about 8718.6971503775. The cubic root of 76015680 is about 423.6114869986.

The spelling of 76015680 in words is "seventy-six million, fifteen thousand, six hundred eighty".