812902970880 has 2560 divisors, whose sum is σ = 4012543180800. Its totient is φ = 150493593600.

The previous prime is 812902970863. The next prime is 812902970917. The reversal of 812902970880 is 88079209218.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×812902970880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2144862531 + ... + 2144862909.

It is an arithmetic number, because the mean of its divisors is an integer number (1567399680).

Almost surely, 2^812902970880 is an apocalyptic number.

812902970880 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 812902970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006271590400).

812902970880 is an abundant number, since it is smaller than the sum of its proper divisors (3199640209920).

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

812902970880 is a wasteful number, since it uses less digits than its factorization.

812902970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 812902970880 in words is "eight hundred twelve billion, nine hundred two million, nine hundred seventy thousand, eight hundred eighty".