79956800 has 252 divisors, whose sum is σ = 251338080. Its totient is φ = 24499200.

The previous prime is 79956791. The next prime is 79956817. The reversal of 79956800 is 865997.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 1355171 + ... + 1355229.

Almost surely, 2^79956800 is an apocalyptic number.

79956800 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 79956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125669040).

79956800 is an abundant number, since it is smaller than the sum of its proper divisors (171381280).

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

79956800 is a wasteful number, since it uses less digits than its factorization.

79956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 44.

The square root of 79956800 is about 8941.8566304767. The cubic root of 79956800 is about 430.8093643926.

The spelling of 79956800 in words is "seventy-nine million, nine hundred fifty-six thousand, eight hundred".