809883326720 has 288 divisors, whose sum is σ = 2172902161920. Its totient is φ = 287251660800.

The previous prime is 809883326677. The next prime is 809883326767. The reversal of 809883326720 is 27623388908.

It is a super-2 number, since 2×809883326720² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48630395 + ... + 48647045.

Almost surely, 2^809883326720 is an apocalyptic number.

809883326720 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 809883326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086451080960).

809883326720 is an abundant number, since it is smaller than the sum of its proper divisors (1363018835200).

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

809883326720 is a wasteful number, since it uses less digits than its factorization.

809883326720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16801 (or 16787 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 56.

The spelling of 809883326720 in words is "eight hundred nine billion, eight hundred eighty-three million, three hundred twenty-six thousand, seven hundred twenty".