79740297917280 has 6912 divisors, whose sum is σ = 424863402163200. Its totient is φ = 13296945070080.

The previous prime is 79740297917233. The next prime is 79740297917317. The reversal of 79740297917280 is 8271979204797.

79740297917280 is a `hidden beast` number, since 7 + 9 + 7 + 40 + 297 + 9 + 17 + 280 = 666.

It is a super-2 number, since 2×79740297917280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 79740297917199 and 79740297917208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 140141120836 + ... + 140141121404.

It is an arithmetic number, because the mean of its divisors is an integer number (61467506100).

Almost surely, 2^{79740297917280} is an apocalyptic number.

79740297917280 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 79740297917280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212431701081600).

79740297917280 is an abundant number, since it is smaller than the sum of its proper divisors (345123104245920).

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

79740297917280 is a wasteful number, since it uses less digits than its factorization.

79740297917280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 224042112, while the sum is 72.

The spelling of 79740297917280 in words is "seventy-nine trillion, seven hundred forty billion, two hundred ninety-seven million, nine hundred seventeen thousand, two hundred eighty".