806244800 has 84 divisors (see below), whose sum is σ = 2037633720. Its totient is φ = 313758720.

The previous prime is 806244799. The next prime is 806244821. The reversal of 806244800 is 8442608.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52391 + ... + 66009.

Almost surely, 2^806244800 is an apocalyptic number.

806244800 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 806244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018816860).

806244800 is an abundant number, since it is smaller than the sum of its proper divisors (1231388920).

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

806244800 is a wasteful number, since it uses less digits than its factorization.

806244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13678 (or 13663 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 806244800 is about 28394.4501619595. The cubic root of 806244800 is about 930.7269915805.

The spelling of 806244800 in words is "eight hundred six million, two hundred forty-four thousand, eight hundred".