79164800 has 192 divisors, whose sum is σ = 231078960. Its totient is φ = 26419200.

The previous prime is 79164797. The next prime is 79164803. The reversal of 79164800 is 846197.

It is an interprime number because it is at equal distance from previous prime (79164797) and next prime (79164803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79164803) 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, 457514 + ... + 457686.

Almost surely, 2^79164800 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 79164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115539480).

79164800 is an abundant number, since it is smaller than the sum of its proper divisors (151914160).

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

79164800 is a wasteful number, since it uses less digits than its factorization.

79164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 79164800 is about 8897.4603117968. The cubic root of 79164800 is about 429.3822027710.

The spelling of 79164800 in words is "seventy-nine million, one hundred sixty-four thousand, eight hundred".