808800849 has 16 divisors (see below), whose sum is σ = 1199365440. Its totient is φ = 538686720.

The previous prime is 808800833. The next prime is 808800859. The reversal of 808800849 is 948008808.

It is not a de Polignac number, because 808800849 - 2⁴ = 808800833 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (808800859) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15729 + ... + 43185.

It is an arithmetic number, because the mean of its divisors is an integer number (74960340).

Almost surely, 2^808800849 is an apocalyptic number.

It is an amenable number.

808800849 is a deficient number, since it is larger than the sum of its proper divisors (390564591).

808800849 is a wasteful number, since it uses less digits than its factorization.

808800849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28557 (or 28551 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 808800849 is about 28439.4242030320. The cubic root of 808800849 is about 931.7095195394.

The spelling of 808800849 in words is "eight hundred eight million, eight hundred thousand, eight hundred forty-nine".