79756800 has 240 divisors, whose sum is σ = 276029952. Its totient is φ = 20275200.

The previous prime is 79756799. The next prime is 79756811. The reversal of 79756800 is 865797.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×79756800² = 12722294292480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1190367 + ... + 1190433.

Almost surely, 2^79756800 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 79756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138014976).

79756800 is an abundant number, since it is smaller than the sum of its proper divisors (196273152).

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

79756800 is a wasteful number, since it uses less digits than its factorization.

79756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 79756800 is about 8930.6662685379. Note that the first 3 decimals coincide. The cubic root of 79756800 is about 430.4498627066.

The spelling of 79756800 in words is "seventy-nine million, seven hundred fifty-six thousand, eight hundred".