79138800 has 360 divisors, whose sum is σ = 314823600. Its totient is φ = 18247680.

The previous prime is 79138799. The next prime is 79138823. The reversal of 79138800 is 883197.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 889156 + ... + 889244.

It is an arithmetic number, because the mean of its divisors is an integer number (874510).

Almost surely, 2^79138800 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 79138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157411800).

79138800 is an abundant number, since it is smaller than the sum of its proper divisors (235684800).

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

79138800 is a wasteful number, since it uses less digits than its factorization.

79138800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 79138800 is about 8895.9991007194. Note that the first 3 decimals coincide. The cubic root of 79138800 is about 429.3351904639.

The spelling of 79138800 in words is "seventy-nine million, one hundred thirty-eight thousand, eight hundred".