800544400 has 30 divisors (see below), whose sum is σ = 1923308882. Its totient is φ = 320217600.

The previous prime is 800544359. The next prime is 800544427. The reversal of 800544400 is 4445008.

It can be written as a sum of positive squares in 3 ways, for example, as 15872256 + 784672144 = 3984^2 + 28012^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1000281 + ... + 1001080.

Almost surely, 2^800544400 is an apocalyptic number.

800544400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800544400 is an abundant number, since it is smaller than the sum of its proper divisors (1122764482).

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

800544400 is a wasteful number, since it uses less digits than its factorization.

800544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001379 (or 2001368 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 800544400 is about 28293.8933340748. The cubic root of 800544400 is about 928.5282923890.

Adding to 800544400 its reverse (4445008), we get a palindrome (804989408).

The spelling of 800544400 in words is "eight hundred million, five hundred forty-four thousand, four hundred".