79105662720 has 1080 divisors, whose sum is σ = 344090998944. Its totient is φ = 17269604352.

The previous prime is 79105662703. The next prime is 79105662731. The reversal of 79105662720 is 2726650197.

79105662720 is a `hidden beast` number, since 7 + 9 + 10 + 5 + 6 + 627 + 2 + 0 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 116847022 + ... + 116847698.

Almost surely, 2^79105662720 is an apocalyptic number.

79105662720 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 79105662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172045499472).

79105662720 is an abundant number, since it is smaller than the sum of its proper divisors (264985336224).

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

79105662720 is a wasteful number, since it uses less digits than its factorization.

79105662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

It can be divided in two parts, 791056 and 62720, that added together give a square (853776 = 924²).

The spelling of 79105662720 in words is "seventy-nine billion, one hundred five million, six hundred sixty-two thousand, seven hundred twenty".