79804800 has 288 divisors, whose sum is σ = 303362280. Its totient is φ = 19906560.

The previous prime is 79804799. The next prime is 79804831. The reversal of 79804800 is 840897.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×79804800² = 12737612206080000, which contains 22 as substring.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489519 + ... + 489681.

Almost surely, 2^79804800 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 79804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151681140).

79804800 is an abundant number, since it is smaller than the sum of its proper divisors (223557480).

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

79804800 is a wasteful number, since it uses less digits than its factorization.

79804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

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

The square root of 79804800 is about 8933.3532338087. The cubic root of 79804800 is about 430.5361978733.

The spelling of 79804800 in words is "seventy-nine million, eight hundred four thousand, eight hundred".