79277425920 has 1152 divisors, whose sum is σ = 362433576960. Its totient is φ = 15941836800.

The previous prime is 79277425781. The next prime is 79277425963. The reversal of 79277425920 is 2952477297.

It is a happy number.

79277425920 is a `hidden beast` number, since 7 + 9 + 2 + 7 + 7 + 42 + 592 + 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2557336305 + ... + 2557336335.

It is an arithmetic number, because the mean of its divisors is an integer number (314612480).

Almost surely, 2^79277425920 is an apocalyptic number.

79277425920 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 79277425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181216788480).

79277425920 is an abundant number, since it is smaller than the sum of its proper divisors (283156151040).

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

79277425920 is an equidigital number, since it uses as much as digits as its factorization.

79277425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 79277425920 in words is "seventy-nine billion, two hundred seventy-seven million, four hundred twenty-five thousand, nine hundred twenty".