812306880 has 840 divisors, whose sum is σ = 3727911264. Its totient is φ = 164229120.

The previous prime is 812306879. The next prime is 812306909. The reversal of 812306880 is 88603218.

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 21954222 + ... + 21954258.

Almost surely, 2^812306880 is an apocalyptic number.

812306880 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 812306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863955632).

812306880 is an abundant number, since it is smaller than the sum of its proper divisors (2915604384).

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

812306880 is a wasteful number, since it uses less digits than its factorization.

812306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 812306880 is about 28500.9978772674. The cubic root of 812306880 is about 933.0538528277.

The spelling of 812306880 in words is "eight hundred twelve million, three hundred six thousand, eight hundred eighty".