79228800 has 384 divisors, whose sum is σ = 333907200. Its totient is φ = 17971200.

The previous prime is 79228757. The next prime is 79228811. The reversal of 79228800 is 882297.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 604735 + ... + 604865.

It is an arithmetic number, because the mean of its divisors is an integer number (869550).

Almost surely, 2^79228800 is an apocalyptic number.

79228800 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 79228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166953600).

79228800 is an abundant number, since it is smaller than the sum of its proper divisors (254678400).

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

79228800 is a wasteful number, since it uses less digits than its factorization.

79228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 79228800 is about 8901.0561171133. The cubic root of 79228800 is about 429.4978815359.

It can be divided in two parts, 792 and 28800, that added together give a palindrome (29592).

The spelling of 79228800 in words is "seventy-nine million, two hundred twenty-eight thousand, eight hundred".