806922800 has 120 divisors (see below), whose sum is σ = 2040702720. Its totient is φ = 306028800.

The previous prime is 806922773. The next prime is 806922811. The reversal of 806922800 is 8229608.

It is a super-2 number, since 2×806922800² = 1302248810319680000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1278485 + ... + 1279115.

It is an arithmetic number, because the mean of its divisors is an integer number (17005856).

Almost surely, 2^806922800 is an apocalyptic number.

806922800 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 806922800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020351360).

806922800 is an abundant number, since it is smaller than the sum of its proper divisors (1233779920).

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

806922800 is a wasteful number, since it uses less digits than its factorization.

806922800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 806922800 is about 28406.3866058321. The cubic root of 806922800 is about 930.9878123209.

The spelling of 806922800 in words is "eight hundred six million, nine hundred twenty-two thousand, eight hundred".