795982143825792 has 1280 divisors, whose sum is σ = 3138626223912960. Its totient is φ = 193867997184000.

The previous prime is 795982143825769. The next prime is 795982143825811. The reversal of 795982143825792 is 297528341289597.

795982143825792 is a `hidden beast` number, since 7 + 9 + 5 + 9 + 8 + 2 + 1 + 4 + 38 + 2 + 579 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3677825742 + ... + 3678042162.

It is an arithmetic number, because the mean of its divisors is an integer number (2452051737432).

Almost surely, 2^{795982143825792} is an apocalyptic number.

795982143825792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 795982143825792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569313111956480).

795982143825792 is an abundant number, since it is smaller than the sum of its proper divisors (2342644080087168).

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

795982143825792 is a wasteful number, since it uses less digits than its factorization.

795982143825792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216753 (or 216732 counting only the distinct ones).

The product of its digits is 5486745600, while the sum is 81.

The spelling of 795982143825792 in words is "seven hundred ninety-five trillion, nine hundred eighty-two billion, one hundred forty-three million, eight hundred twenty-five thousand, seven hundred ninety-two".