809801334720 has 672 divisors, whose sum is σ = 3441455347200. Its totient is φ = 170613153792.

The previous prime is 809801334679. The next prime is 809801334773. The reversal of 809801334720 is 27433108908.

809801334720 is a `hidden beast` number, since 80 + 98 + 0 + 13 + 3 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14143911 + ... + 14201049.

Almost surely, 2^809801334720 is an apocalyptic number.

809801334720 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 809801334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720727673600).

809801334720 is an abundant number, since it is smaller than the sum of its proper divisors (2631654012480).

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

809801334720 is a wasteful number, since it uses less digits than its factorization.

809801334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57225 (or 57212 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 809801334720 in words is "eight hundred nine billion, eight hundred one million, three hundred thirty-four thousand, seven hundred twenty".