79926631200 has 1152 divisors, whose sum is σ = 333878630400. Its totient is φ = 18289152000.

The previous prime is 79926631193. The next prime is 79926631243. The reversal of 79926631200 is 213662997.

It is a happy number.

79926631200 is a `hidden beast` number, since 7 + 9 + 9 + 2 + 6 + 631 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 378799095 + ... + 378799305.

It is an arithmetic number, because the mean of its divisors is an integer number (289825200).

Almost surely, 2^79926631200 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 79926631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166939315200).

79926631200 is an abundant number, since it is smaller than the sum of its proper divisors (253951999200).

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

79926631200 is a wasteful number, since it uses less digits than its factorization.

79926631200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 79926631200 in words is "seventy-nine billion, nine hundred twenty-six million, six hundred thirty-one thousand, two hundred".