79132800 has 96 divisors (see below), whose sum is σ = 260675280. Its totient is φ = 21099520.

The previous prime is 79132789. The next prime is 79132831. The reversal of 79132800 is 823197.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5479 + ... + 13721.

Almost surely, 2^79132800 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 79132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130337640).

79132800 is an abundant number, since it is smaller than the sum of its proper divisors (181542480).

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

79132800 is a wasteful number, since it uses less digits than its factorization.

79132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8270 (or 8253 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 79132800 is about 8895.6618640773. The cubic root of 79132800 is about 429.3243400077.

Adding to 79132800 its reverse (823197), we get a palindrome (79955997).

The spelling of 79132800 in words is "seventy-nine million, one hundred thirty-two thousand, eight hundred".