79345115982720 has 1152 divisors, whose sum is σ = 330772493600640. Its totient is φ = 18122501246976.

The previous prime is 79345115982709. The next prime is 79345115982731. The reversal of 79345115982720 is 2728951154397.

It is a happy number.

79345115982720 is a `hidden beast` number, since 7 + 9 + 3 + 4 + 5 + 11 + 598 + 2 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (79345115982709) and next prime (79345115982731).

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

It is a super-2 number, since 2×79345115982720² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13130084019 + ... + 13130090061.

It is an arithmetic number, because the mean of its divisors is an integer number (287128900695).

Almost surely, 2^{79345115982720} is an apocalyptic number.

79345115982720 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 79345115982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165386246800320).

79345115982720 is an abundant number, since it is smaller than the sum of its proper divisors (251427377617920).

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

79345115982720 is a wasteful number, since it uses less digits than its factorization.

79345115982720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7814 (or 7783 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 79345115982720 in words is "seventy-nine trillion, three hundred forty-five billion, one hundred fifteen million, nine hundred eighty-two thousand, seven hundred twenty".