809321318400 has 864 divisors, whose sum is σ = 3131450824320. Its totient is φ = 183854039040.

The previous prime is 809321318363. The next prime is 809321318447. The reversal of 809321318400 is 4813123908.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2205235017 + ... + 2205235383.

It is an arithmetic number, because the mean of its divisors is an integer number (3624364380).

Almost surely, 2^809321318400 is an apocalyptic number.

809321318400 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 809321318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565725412160).

809321318400 is an abundant number, since it is smaller than the sum of its proper divisors (2322129505920).

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

809321318400 is a wasteful number, since it uses less digits than its factorization.

809321318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 809321318400 in words is "eight hundred nine billion, three hundred twenty-one million, three hundred eighteen thousand, four hundred".