807993018880 has 160 divisors (see below), whose sum is σ = 1963912761360. Its totient is φ = 318780211200.

The previous prime is 807993018863. The next prime is 807993018919. The reversal of 807993018880 is 88810399708.

It can be written as a sum of positive squares in 8 ways, for example, as 307838548224 + 500154470656 = 554832^2 + 707216^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 69546832 + ... + 69558448.

Almost surely, 2^807993018880 is an apocalyptic number.

807993018880 is a gapful number since it is divisible by the number (80) 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 807993018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981956380680).

807993018880 is an abundant number, since it is smaller than the sum of its proper divisors (1155919742480).

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

807993018880 is a wasteful number, since it uses less digits than its factorization.

807993018880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12010 (or 11994 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 61.

The spelling of 807993018880 in words is "eight hundred seven billion, nine hundred ninety-three million, eighteen thousand, eight hundred eighty".