79795285770240 has 720 divisors, whose sum is σ = 288995956075008. Its totient is φ = 20328627044352.

The previous prime is 79795285770203. The next prime is 79795285770257. The reversal of 79795285770240 is 4207758259797.

It is a happy number.

79795285770240 is a `hidden beast` number, since 7 + 9 + 7 + 9 + 5 + 2 + 8 + 577 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16669161127 + ... + 16669165913.

Almost surely, 2^{79795285770240} 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 79795285770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144497978037504).

79795285770240 is an abundant number, since it is smaller than the sum of its proper divisors (209200670304768).

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

79795285770240 is a wasteful number, since it uses less digits than its factorization.

79795285770240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5832 (or 5803 counting only the distinct ones).

The product of its (nonzero) digits is 622339200, while the sum is 72.

The spelling of 79795285770240 in words is "seventy-nine trillion, seven hundred ninety-five billion, two hundred eighty-five million, seven hundred seventy thousand, two hundred forty".