800820172800 has 720 divisors, whose sum is σ = 3062238379200. Its totient is φ = 206630092800.

The previous prime is 800820172799. The next prime is 800820172843. The reversal of 800820172800 is 8271028008.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 128560086 + ... + 128566314.

It is an arithmetic number, because the mean of its divisors is an integer number (4253108860).

Almost surely, 2^800820172800 is an apocalyptic number.

800820172800 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 800820172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531119189600).

800820172800 is an abundant number, since it is smaller than the sum of its proper divisors (2261418206400).

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

800820172800 is a wasteful number, since it uses less digits than its factorization.

800820172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6304 (or 6270 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 800820172800 in words is "eight hundred billion, eight hundred twenty million, one hundred seventy-two thousand, eight hundred".