812418876000 has 768 divisors, whose sum is σ = 3124832256000. Its totient is φ = 204686899200.

The previous prime is 812418875987. The next prime is 812418876011. The reversal of 812418876000 is 678814218.

812418876000 is a `hidden beast` number, since 8 + 1 + 24 + 18 + 8 + 7 + 600 + 0 = 666.

It is a super-2 number, since 2×812418876000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 147201241 + ... + 147206759.

It is an arithmetic number, because the mean of its divisors is an integer number (4068792000).

Almost surely, 2^812418876000 is an apocalyptic number.

812418876000 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 812418876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562416128000).

812418876000 is an abundant number, since it is smaller than the sum of its proper divisors (2312413380000).

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

812418876000 is a wasteful number, since it uses less digits than its factorization.

812418876000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5629 (or 5605 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 812418876000 in words is "eight hundred twelve billion, four hundred eighteen million, eight hundred seventy-six thousand".