79391200 has 72 divisors (see below), whose sum is σ = 221517072. Its totient is φ = 27217920.

The previous prime is 79391189. The next prime is 79391203. The reversal of 79391200 is 219397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79391203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1489 + ... + 12688.

It is an arithmetic number, because the mean of its divisors is an integer number (3076626).

Almost surely, 2^79391200 is an apocalyptic number.

79391200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79391200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110758536).

79391200 is an abundant number, since it is smaller than the sum of its proper divisors (142125872).

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

79391200 is a wasteful number, since it uses less digits than its factorization.

79391200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14204 (or 14191 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 79391200 is about 8910.1739601424. The cubic root of 79391200 is about 429.7911370732.

The spelling of 79391200 in words is "seventy-nine million, three hundred ninety-one thousand, two hundred".