79230684877344 has 1440 divisors, whose sum is σ = 331138085160960. Its totient is φ = 17996413593600.

The previous prime is 79230684877327. The next prime is 79230684877411. The reversal of 79230684877344 is 44377848603297.

79230684877344 is a `hidden beast` number, since 7 + 9 + 2 + 30 + 6 + 8 + 487 + 73 + 44 = 666.

It is a super-2 number, since 2×79230684877344² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 640802409 + ... + 640926039.

It is an arithmetic number, because the mean of its divisors is an integer number (229957003584).

Almost surely, 2^{79230684877344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79230684877344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165569042580480).

79230684877344 is an abundant number, since it is smaller than the sum of its proper divisors (251907400283616).

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

79230684877344 is a wasteful number, since it uses less digits than its factorization.

79230684877344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123716 (or 123686 counting only the distinct ones).

The product of its (nonzero) digits is 1365590016, while the sum is 72.

The spelling of 79230684877344 in words is "seventy-nine trillion, two hundred thirty billion, six hundred eighty-four million, eight hundred seventy-seven thousand, three hundred forty-four".