79257225600 has 1152 divisors, whose sum is σ = 342660880800. Its totient is φ = 17836277760.

The previous prime is 79257225569. The next prime is 79257225653. The reversal of 79257225600 is 652275297.

79257225600 is a `hidden beast` number, since 79 + 2 + 572 + 2 + 5 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 410659104 + ... + 410659296.

Almost surely, 2^79257225600 is an apocalyptic number.

79257225600 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 79257225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171330440400).

79257225600 is an abundant number, since it is smaller than the sum of its proper divisors (263403655200).

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

79257225600 is a wasteful number, since it uses less digits than its factorization.

79257225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 79257225600 in words is "seventy-nine billion, two hundred fifty-seven million, two hundred twenty-five thousand, six hundred".