812435808000 has 864 divisors, whose sum is σ = 2897325849600. Its totient is φ = 201393561600.

The previous prime is 812435807987. The next prime is 812435808031. The reversal of 812435808000 is 808534218.

It is a super-2 number, since 2×812435808000² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 812435808000.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4082591901 + ... + 4082592099.

It is an arithmetic number, because the mean of its divisors is an integer number (3353386400).

Almost surely, 2^812435808000 is an apocalyptic number.

812435808000 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 812435808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448662924800).

812435808000 is an abundant number, since it is smaller than the sum of its proper divisors (2084890041600).

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

812435808000 is a wasteful number, since it uses less digits than its factorization.

812435808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 812435808000 in words is "eight hundred twelve billion, four hundred thirty-five million, eight hundred eight thousand".