79488600 has 96 divisors (see below), whose sum is σ = 260943120. Its totient is φ = 19947520.

The previous prime is 79488593. The next prime is 79488611. The reversal of 79488600 is 688497.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6304 + ... + 14096.

Almost surely, 2^79488600 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 79488600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130471560).

79488600 is an abundant number, since it is smaller than the sum of its proper divisors (181454520).

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

79488600 is a wasteful number, since it uses less digits than its factorization.

79488600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7829 (or 7820 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 79488600 is about 8915.6379468886. The cubic root of 79488600 is about 429.9668263573.

The spelling of 79488600 in words is "seventy-nine million, four hundred eighty-eight thousand, six hundred".