79488800 has 72 divisors (see below), whose sum is σ = 197081136. Its totient is φ = 31299840.

The previous prime is 79488781. The next prime is 79488823. The reversal of 79488800 is 888497.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52859 + ... + 54341.

It is an arithmetic number, because the mean of its divisors is an integer number (2737238).

Almost surely, 2^79488800 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 79488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98540568).

79488800 is an abundant number, since it is smaller than the sum of its proper divisors (117592336).

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

79488800 is a wasteful number, since it uses less digits than its factorization.

79488800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The square root of 79488800 is about 8915.6491631288. The cubic root of 79488800 is about 429.9671869679.

The spelling of 79488800 in words is "seventy-nine million, four hundred eighty-eight thousand, eight hundred".