809721980760 has 256 divisors, whose sum is σ = 3030733532160. Its totient is φ = 168133754880.

The previous prime is 809721980759. The next prime is 809721980773. The reversal of 809721980760 is 67089127908.

809721980760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×809721980760² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 809721980760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13210344 + ... + 13271496.

It is an arithmetic number, because the mean of its divisors is an integer number (11838802860).

Almost surely, 2^809721980760 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 809721980760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515366766080).

809721980760 is an abundant number, since it is smaller than the sum of its proper divisors (2221011551400).

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

809721980760 is a wasteful number, since it uses less digits than its factorization.

809721980760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62618 (or 62614 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 57.

The spelling of 809721980760 in words is "eight hundred nine billion, seven hundred twenty-one million, nine hundred eighty thousand, seven hundred sixty".