795838762509120 has 1008 divisors, whose sum is σ = 3104029623816576. Its totient is φ = 192735936000000.

The previous prime is 795838762509061. The next prime is 795838762509253. The reversal of 795838762509120 is 21905267838597.

795838762509120 is a `hidden beast` number, since 7 + 9 + 5 + 8 + 38 + 7 + 62 + 509 + 1 + 20 = 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23579692245 + ... + 23579725995.

It is an arithmetic number, because the mean of its divisors is an integer number (3079394468072).

Almost surely, 2^{795838762509120} 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 795838762509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552014811908288).

795838762509120 is an abundant number, since it is smaller than the sum of its proper divisors (2308190861307456).

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

795838762509120 is a wasteful number, since it uses less digits than its factorization.

795838762509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34824 (or 34793 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 795838762509120 in words is "seven hundred ninety-five trillion, eight hundred thirty-eight billion, seven hundred sixty-two million, five hundred nine thousand, one hundred twenty".