809400028800 has 768 divisors, whose sum is σ = 3213450040320. Its totient is φ = 176637542400.

The previous prime is 809400028781. The next prime is 809400028813. The reversal of 809400028800 is 8820004908.

It is a happy 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, 41279799 + ... + 41299401.

It is an arithmetic number, because the mean of its divisors is an integer number (4184179740).

Almost surely, 2^809400028800 is an apocalyptic number.

809400028800 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 809400028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606725020160).

809400028800 is an abundant number, since it is smaller than the sum of its proper divisors (2404050011520).

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

809400028800 is a wasteful number, since it uses less digits than its factorization.

809400028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19681 (or 19664 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 809400028800 in words is "eight hundred nine billion, four hundred million, twenty-eight thousand, eight hundred".