800804825 has 24 divisors (see below), whose sum is σ = 1036480536. Its totient is φ = 613184000.

The previous prime is 800804791. The next prime is 800804827. The reversal of 800804825 is 528408008.

It can be written as a sum of positive squares in 12 ways, for example, as 116877721 + 683927104 = 10811^2 + 26152^2 .

It is a de Polignac number, because none of the positive numbers 2^k-800804825 is a prime.

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 a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (800804827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46955 + ... + 61695.

It is an arithmetic number, because the mean of its divisors is an integer number (43186689).

Almost surely, 2^800804825 is an apocalyptic number.

It is an amenable number.

800804825 is a deficient number, since it is larger than the sum of its proper divisors (235675711).

800804825 is a wasteful number, since it uses less digits than its factorization.

800804825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14845 (or 14840 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 800804825 is about 28298.4951013300. The cubic root of 800804825 is about 928.6289679476.

The spelling of 800804825 in words is "eight hundred million, eight hundred four thousand, eight hundred twenty-five".