79791307200 has 336 divisors, whose sum is σ = 317313381120. Its totient is φ = 19343232000.

The previous prime is 79791307129. The next prime is 79791307207. The reversal of 79791307200 is 270319797.

79791307200 is a `hidden beast` number, since 79 + 79 + 1 + 307 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79791307207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391245 + ... + 559155.

Almost surely, 2^79791307200 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 79791307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158656690560).

79791307200 is an abundant number, since it is smaller than the sum of its proper divisors (237522073920).

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

79791307200 is a wasteful number, since it uses less digits than its factorization.

79791307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167953 (or 167932 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The spelling of 79791307200 in words is "seventy-nine billion, seven hundred ninety-one million, three hundred seven thousand, two hundred".