79437715200 has 432 divisors, whose sum is σ = 292688454240. Its totient is φ = 21081784320.

The previous prime is 79437715199. The next prime is 79437715213. The reversal of 79437715200 is 251773497.

79437715200 is a `hidden beast` number, since 7 + 9 + 437 + 7 + 1 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×79437715200² (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 an unprimeable number.

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, 40261414 + ... + 40263386.

It is an arithmetic number, because the mean of its divisors is an integer number (677519570).

Almost surely, 2^79437715200 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 79437715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146344227120).

79437715200 is an abundant number, since it is smaller than the sum of its proper divisors (213250739040).

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

79437715200 is a wasteful number, since it uses less digits than its factorization.

79437715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 79437715200 in words is "seventy-nine billion, four hundred thirty-seven million, seven hundred fifteen thousand, two hundred".