800418944 has 32 divisors (see below), whose sum is σ = 1717248540. Its totient is φ = 369423360.

The previous prime is 800418943. The next prime is 800418959. The reversal of 800418944 is 449814008.

800418944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 790734400 + 9684544 = 28120^2 + 3112^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 800418898 and 800418907.

It is not an unprimeable number, because it can be changed into a prime (800418943) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 238847 + ... + 242174.

Almost surely, 2^800418944 is an apocalyptic number.

It is an amenable number.

800418944 is an abundant number, since it is smaller than the sum of its proper divisors (916829596).

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

800418944 is a wasteful number, since it uses less digits than its factorization.

800418944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481048 (or 481036 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 800418944 is about 28291.6762317117. The cubic root of 800418944 is about 928.4797855932.

The spelling of 800418944 in words is "eight hundred million, four hundred eighteen thousand, nine hundred forty-four".