800400800 has 144 divisors (see below), whose sum is σ = 2086038360. Its totient is φ = 298844160.

The previous prime is 800400793. The next prime is 800400823. The reversal of 800400800 is 8004008.

800400800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 558660496 + 241740304 = 23636^2 + 15548^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3114272 + ... + 3114528.

Almost surely, 2^800400800 is an apocalyptic number.

800400800 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 800400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043019180).

800400800 is an abundant number, since it is smaller than the sum of its proper divisors (1285637560).

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

800400800 is a wasteful number, since it uses less digits than its factorization.

800400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 800400800 is about 28291.3555702091. The cubic root of 800400800 is about 928.4727699069.

Adding to 800400800 its reverse (8004008), we get a palindrome (808404808).

800400800 divided by its reverse (8004008) gives a square (100 = 10²).

The spelling of 800400800 in words is "eight hundred million, four hundred thousand, eight hundred".