79876800 has 252 divisors, whose sum is σ = 298109640. Its totient is φ = 20805120.

The previous prime is 79876763. The next prime is 79876807. The reversal of 79876800 is 867897.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (79876807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1857579 + ... + 1857621.

Almost surely, 2^79876800 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 79876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149054820).

79876800 is an abundant number, since it is smaller than the sum of its proper divisors (218232840).

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

79876800 is a wasteful number, since it uses less digits than its factorization.

79876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 79876800 is about 8937.3821670554. The cubic root of 79876800 is about 430.6656357375.

The spelling of 79876800 in words is "seventy-nine million, eight hundred seventy-six thousand, eight hundred".