79929427200 has 864 divisors, whose sum is σ = 314792352000. Its totient is φ = 17846599680.

The previous prime is 79929427181. The next prime is 79929427211. The reversal of 79929427200 is 272492997.

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, 349036686 + ... + 349036914.

It is an arithmetic number, because the mean of its divisors is an integer number (364343000).

Almost surely, 2^79929427200 is an apocalyptic number.

79929427200 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 79929427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157396176000).

79929427200 is an abundant number, since it is smaller than the sum of its proper divisors (234862924800).

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

79929427200 is a wasteful number, since it uses less digits than its factorization.

79929427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 79929427200 in words is "seventy-nine billion, nine hundred twenty-nine million, four hundred twenty-seven thousand, two hundred".