79638703200 has 576 divisors, whose sum is σ = 348547691520. Its totient is φ = 17131806720.

The previous prime is 79638703189. The next prime is 79638703231. The reversal of 79638703200 is 230783697.

It is a happy number.

79638703200 is a `hidden beast` number, since 7 + 9 + 638 + 7 + 0 + 3 + 2 + 0 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2554909 + ... + 2585891.

It is an arithmetic number, because the mean of its divisors is an integer number (605117520).

Almost surely, 2^79638703200 is an apocalyptic number.

79638703200 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 79638703200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174273845760).

79638703200 is an abundant number, since it is smaller than the sum of its proper divisors (268908988320).

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

79638703200 is a wasteful number, since it uses less digits than its factorization.

79638703200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31036 (or 31017 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 79638703200 in words is "seventy-nine billion, six hundred thirty-eight million, seven hundred three thousand, two hundred".