79837228800 has 1080 divisors, whose sum is σ = 345016980000. Its totient is φ = 18207866880.

The previous prime is 79837228799. The next prime is 79837228813. The reversal of 79837228800 is 882273897.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 177810976 + ... + 177811424.

Almost surely, 2^79837228800 is an apocalyptic number.

79837228800 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 79837228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172508490000).

79837228800 is an abundant number, since it is smaller than the sum of its proper divisors (265179751200).

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

79837228800 is an equidigital number, since it uses as much as digits as its factorization.

79837228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 79837228800 in words is "seventy-nine billion, eight hundred thirty-seven million, two hundred twenty-eight thousand, eight hundred".