800436404400 has 240 divisors, whose sum is σ = 2680400657664. Its totient is φ = 203798819840.

The previous prime is 800436404387. The next prime is 800436404413. The reversal of 800436404400 is 4404634008.

It is an interprime number because it is at equal distance from previous prime (800436404387) and next prime (800436404413).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15347167 + ... + 15399233.

Almost surely, 2^800436404400 is an apocalyptic number.

800436404400 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 800436404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340200328832).

800436404400 is an abundant number, since it is smaller than the sum of its proper divisors (1879964253264).

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

800436404400 is a wasteful number, since it uses less digits than its factorization.

800436404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52668 (or 52657 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 800436404400 in words is "eight hundred billion, four hundred thirty-six million, four hundred four thousand, four hundred".