79938997600 has 288 divisors, whose sum is σ = 243734400000. Its totient is φ = 24872140800.

The previous prime is 79938997577. The next prime is 79938997657. The reversal of 79938997600 is 679983997.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64001776 + ... + 64003024.

It is an arithmetic number, because the mean of its divisors is an integer number (846300000).

Almost surely, 2^79938997600 is an apocalyptic number.

79938997600 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 79938997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200000).

79938997600 is an abundant number, since it is smaller than the sum of its proper divisors (163795402400).

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

79938997600 is a wasteful number, since it uses less digits than its factorization.

79938997600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 46294416, while the sum is 67.

The spelling of 79938997600 in words is "seventy-nine billion, nine hundred thirty-eight million, nine hundred ninety-seven thousand, six hundred".