79934479200 has 432 divisors, whose sum is σ = 289556467200. Its totient is φ = 20740008960.

The previous prime is 79934479189. The next prime is 79934479279. The reversal of 79934479200 is 297443997.

It is a happy number.

79934479200 is a `hidden beast` number, since 7 + 99 + 344 + 7 + 9 + 200 = 666.

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 71 ways as a sum of consecutive naturals, for example, 67341007 + ... + 67342193.

It is an arithmetic number, because the mean of its divisors is an integer number (670269600).

Almost surely, 2^79934479200 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 79934479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144778233600).

79934479200 is an abundant number, since it is smaller than the sum of its proper divisors (209621988000).

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

79934479200 is a wasteful number, since it uses less digits than its factorization.

79934479200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 79934479200 in words is "seventy-nine billion, nine hundred thirty-four million, four hundred seventy-nine thousand, two hundred".