79795200 has 132 divisors (see below), whose sum is σ = 263981120. Its totient is φ = 21258240.

The previous prime is 79795187. The next prime is 79795213. The reversal of 79795200 is 259797.

It is an interprime number because it is at equal distance from previous prime (79795187) and next prime (79795213).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76281 + ... + 77319.

Almost surely, 2^79795200 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 79795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131990560).

79795200 is an abundant number, since it is smaller than the sum of its proper divisors (184185920).

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

79795200 is a wasteful number, since it uses less digits than its factorization.

79795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 79795200 is about 8932.8159054130. The cubic root of 79795200 is about 430.5189336100.

The spelling of 79795200 in words is "seventy-nine million, seven hundred ninety-five thousand, two hundred".