810004400 has 60 divisors (see below), whose sum is σ = 1948908000. Its totient is φ = 323523840.

The previous prime is 810004369. The next prime is 810004469. The reversal of 810004400 is 4400018.

It is a happy number.

810004400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×810004400² = 1312214256038720000, which contains 22 as substring.

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, 414626 + ... + 416574.

It is an arithmetic number, because the mean of its divisors is an integer number (32481800).

Almost surely, 2^810004400 is an apocalyptic number.

810004400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

810004400 is an abundant number, since it is smaller than the sum of its proper divisors (1138903600).

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

810004400 is a wasteful number, since it uses less digits than its factorization.

810004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 810004400 is about 28460.5762415310. The cubic root of 810004400 is about 932.1714396625.

Adding to 810004400 its reverse (4400018), we get a palindrome (814404418).

The spelling of 810004400 in words is "eight hundred ten million, four thousand, four hundred".