800816400 has 180 divisors, whose sum is σ = 2796682980. Its totient is φ = 212198400.

The previous prime is 800816377. The next prime is 800816417. The reversal of 800816400 is 4618008.

It can be written as a sum of positive squares in 6 ways, for example, as 17040384 + 783776016 = 4128^2 + 27996^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 650986 + ... + 652214.

Almost surely, 2^800816400 is an apocalyptic number.

800816400 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 800816400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398341490).

800816400 is an abundant number, since it is smaller than the sum of its proper divisors (1995866580).

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

800816400 is a wasteful number, since it uses less digits than its factorization.

800816400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 800816400 is about 28298.6996167668. The cubic root of 800816400 is about 928.6334421250.

The spelling of 800816400 in words is "eight hundred million, eight hundred sixteen thousand, four hundred".