79216800 has 144 divisors (see below), whose sum is σ = 277794720. Its totient is φ = 19491840.

The previous prime is 79216799. The next prime is 79216801. The reversal of 79216800 is 861297.

It is an interprime number because it is at equal distance from previous prime (79216799) and next prime (79216801).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (79216801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29931 + ... + 32469.

It is an arithmetic number, because the mean of its divisors is an integer number (1929130).

Almost surely, 2^79216800 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 79216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138897360).

79216800 is an abundant number, since it is smaller than the sum of its proper divisors (198577920).

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

79216800 is a wasteful number, since it uses less digits than its factorization.

79216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 79216800 is about 8900.3820142733. The cubic root of 79216800 is about 429.4761965140.

The spelling of 79216800 in words is "seventy-nine million, two hundred sixteen thousand, eight hundred".