79555200 has 96 divisors (see below), whose sum is σ = 262066560. Its totient is φ = 21212160.

The previous prime is 79555199. The next prime is 79555219. The reversal of 79555200 is 255597.

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

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, 5457 + ... + 13743.

It is an arithmetic number, because the mean of its divisors is an integer number (2729860).

Almost surely, 2^79555200 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 79555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131033280).

79555200 is an abundant number, since it is smaller than the sum of its proper divisors (182511360).

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

79555200 is a wasteful number, since it uses less digits than its factorization.

79555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8314 (or 8297 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 33.

The square root of 79555200 is about 8919.3721752150. The cubic root of 79555200 is about 430.0868762630.

The spelling of 79555200 in words is "seventy-nine million, five hundred fifty-five thousand, two hundred".