79488960 has 112 divisors (see below), whose sum is σ = 260616192. Its totient is φ = 20505600.

The previous prime is 79488949. The next prime is 79489009. The reversal of 79488960 is 6988497.

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 15 ways as a sum of consecutive naturals, for example, 28425 + ... + 31095.

Almost surely, 2^79488960 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 79488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130308096).

79488960 is an abundant number, since it is smaller than the sum of its proper divisors (181127232).

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

79488960 is a wasteful number, since it uses less digits than its factorization.

79488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 79488960 is about 8915.6581361109. The cubic root of 79488960 is about 429.9674754559.

The spelling of 79488960 in words is "seventy-nine million, four hundred eighty-eight thousand, nine hundred sixty".