79875213600 has 648 divisors, whose sum is σ = 327577627440. Its totient is φ = 16848599040.

The previous prime is 79875213577. The next prime is 79875213629. The reversal of 79875213600 is 631257897.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 79875213600.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19872391 + ... + 19876409.

It is an arithmetic number, because the mean of its divisors is an integer number (505521030).

Almost surely, 2^79875213600 is an apocalyptic number.

79875213600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79875213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163788813720).

79875213600 is an abundant number, since it is smaller than the sum of its proper divisors (247702413840).

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

79875213600 is a wasteful number, since it uses less digits than its factorization.

79875213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 79875213600 in words is "seventy-nine billion, eight hundred seventy-five million, two hundred thirteen thousand, six hundred".