79199752320 has 1280 divisors, whose sum is σ = 334406983680. Its totient is φ = 17677025280.

The previous prime is 79199752309. The next prime is 79199752367. The reversal of 79199752320 is 2325799197.

79199752320 is a `hidden beast` number, since 7 + 9 + 1 + 9 + 97 + 523 + 20 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 355155729 + ... + 355155951.

It is an arithmetic number, because the mean of its divisors is an integer number (261255456).

Almost surely, 2^79199752320 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 79199752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167203491840).

79199752320 is an abundant number, since it is smaller than the sum of its proper divisors (255207231360).

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

79199752320 is a wasteful number, since it uses less digits than its factorization.

79199752320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 79199752320 in words is "seventy-nine billion, one hundred ninety-nine million, seven hundred fifty-two thousand, three hundred twenty".