79292241600 has 672 divisors, whose sum is σ = 307426156800. Its totient is φ = 17639424000.

The previous prime is 79292241577. The next prime is 79292241601. The reversal of 79292241600 is 614229297.

It is not an unprimeable number, because it can be changed into a prime (79292241601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227198226 + ... + 227198574.

It is an arithmetic number, because the mean of its divisors is an integer number (457479400).

Almost surely, 2^79292241600 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 79292241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153713078400).

79292241600 is an abundant number, since it is smaller than the sum of its proper divisors (228133915200).

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

79292241600 is a wasteful number, since it uses less digits than its factorization.

79292241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 79292241600 in words is "seventy-nine billion, two hundred ninety-two million, two hundred forty-one thousand, six hundred".