795126398976 has 720 divisors, whose sum is σ = 2927311035264. Its totient is φ = 209448861696.

The previous prime is 795126398971. The next prime is 795126399007. The reversal of 795126398976 is 679893621597.

795126398976 is a `hidden beast` number, since 7 + 9 + 512 + 6 + 39 + 8 + 9 + 76 = 666.

It is a super-2 number, since 2×795126398976² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (795126398971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 966131301 + ... + 966132123.

Almost surely, 2^795126398976 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 795126398976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463655517632).

795126398976 is an abundant number, since it is smaller than the sum of its proper divisors (2132184636288).

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

795126398976 is an frugal number, since it uses more digits than its factorization.

795126398976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 848 counting only the distinct ones).

The product of its digits is 308629440, while the sum is 72.

The spelling of 795126398976 in words is "seven hundred ninety-five billion, one hundred twenty-six million, three hundred ninety-eight thousand, nine hundred seventy-six".