79835276712960 has 1760 divisors, whose sum is σ = 303197421542400. Its totient is φ = 20048039903232.

The previous prime is 79835276712959. The next prime is 79835276712979. The reversal of 79835276712960 is 6921767253897.

79835276712960 is a `hidden beast` number, since 7 + 9 + 8 + 3 + 527 + 6 + 7 + 1 + 2 + 96 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 260049761127 + ... + 260049761433.

It is an arithmetic number, because the mean of its divisors is an integer number (172271262240).

Almost surely, 2^{79835276712960} 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 79835276712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151598710771200).

79835276712960 is an abundant number, since it is smaller than the sum of its proper divisors (223362144829440).

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

79835276712960 is a wasteful number, since it uses less digits than its factorization.

79835276712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 79835276712960 in words is "seventy-nine trillion, eight hundred thirty-five billion, two hundred seventy-six million, seven hundred twelve thousand, nine hundred sixty".