800494400 has 84 divisors (see below), whose sum is σ = 2033381760. Its totient is φ = 309849600.

The previous prime is 800494393. The next prime is 800494417. The reversal of 800494400 is 4494008.

It is a happy number.

800494400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 41531 + ... + 57669.

Almost surely, 2^800494400 is an apocalyptic number.

800494400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016690880).

800494400 is an abundant number, since it is smaller than the sum of its proper divisors (1232887360).

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

800494400 is a wasteful number, since it uses less digits than its factorization.

800494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16192 (or 16177 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 800494400 is about 28293.0097373892. The cubic root of 800494400 is about 928.5089608019.

The spelling of 800494400 in words is "eight hundred million, four hundred ninety-four thousand, four hundred".