800887590720 has 560 divisors, whose sum is σ = 3343908374400. Its totient is φ = 178110959616.

The previous prime is 800887590719. The next prime is 800887590803. The reversal of 800887590720 is 27095788008.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6653631 + ... + 6772929.

Almost surely, 2^800887590720 is an apocalyptic number.

800887590720 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 800887590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671954187200).

800887590720 is an abundant number, since it is smaller than the sum of its proper divisors (2543020783680).

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

800887590720 is a wasteful number, since it uses less digits than its factorization.

800887590720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119372 (or 119353 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 800887590720 in words is "eight hundred billion, eight hundred eighty-seven million, five hundred ninety thousand, seven hundred twenty".