800822808000 has 672 divisors, whose sum is σ = 3117636924480. Its totient is φ = 200560435200.

The previous prime is 800822807987. The next prime is 800822808001. The reversal of 800822808000 is 808228008.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800822808001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1714823767 + ... + 1714824233.

Almost surely, 2^800822808000 is an apocalyptic number.

800822808000 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 800822808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558818462240).

800822808000 is an abundant number, since it is smaller than the sum of its proper divisors (2316814116480).

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

800822808000 is an equidigital number, since it uses as much as digits as its factorization.

800822808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 800822808000 in words is "eight hundred billion, eight hundred twenty-two million, eight hundred eight thousand".