79800609600 has 504 divisors, whose sum is σ = 288965469312. Its totient is φ = 20884377600.

The previous prime is 79800609593. The next prime is 79800609601. The reversal of 79800609600 is 690600897.

It is a super-2 number, since 2×79800609600² (a number of 23 digits) contains 22 as substring.

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 (79800609601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 256593445 + ... + 256593755.

Almost surely, 2^79800609600 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 79800609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144482734656).

79800609600 is an abundant number, since it is smaller than the sum of its proper divisors (209164859712).

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

79800609600 is a wasteful number, since it uses less digits than its factorization.

79800609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 79800609600 in words is "seventy-nine billion, eight hundred million, six hundred nine thousand, six hundred".