800990400 has 336 divisors, whose sum is σ = 3104245760. Its totient is φ = 176947200.

The previous prime is 800990371. The next prime is 800990423. The reversal of 800990400 is 4099008.

800990400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1041216 + ... + 1041984.

Almost surely, 2^800990400 is an apocalyptic number.

800990400 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 800990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552122880).

800990400 is an abundant number, since it is smaller than the sum of its proper divisors (2303255360).

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

800990400 is a wasteful number, since it uses less digits than its factorization.

800990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 800990400 is about 28301.7737960008. The cubic root of 800990400 is about 928.7006945429.

The spelling of 800990400 in words is "eight hundred million, nine hundred ninety thousand, four hundred".