801795983904 has 192 divisors, whose sum is σ = 2426170320000. Its totient is φ = 257307079680.

The previous prime is 801795983881. The next prime is 801795983927. The reversal of 801795983904 is 409389597108.

801795983904 is a `hidden beast` number, since 8 + 0 + 1 + 7 + 9 + 598 + 39 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (801795983881) and next prime (801795983927).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8698699 + ... + 8790389.

It is an arithmetic number, because the mean of its divisors is an integer number (12636303750).

Almost surely, 2^801795983904 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 801795983904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213085160000).

801795983904 is an abundant number, since it is smaller than the sum of its proper divisors (1624374336096).

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

801795983904 is a wasteful number, since it uses less digits than its factorization.

801795983904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92088 (or 92074 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 801795983904 in words is "eight hundred one billion, seven hundred ninety-five million, nine hundred eighty-three thousand, nine hundred four".