812373120 has 384 divisors, whose sum is σ = 3185582400. Its totient is φ = 189112320.

The previous prime is 812373113. The next prime is 812373131. The reversal of 812373120 is 21373218.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1422435 + ... + 1423005.

Almost surely, 2^812373120 is an apocalyptic number.

812373120 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 812373120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592791200).

812373120 is an abundant number, since it is smaller than the sum of its proper divisors (2373209280).

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

812373120 is a wasteful number, since it uses less digits than its factorization.

812373120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 812373120 is about 28502.1599181536. The cubic root of 812373120 is about 933.0792142639.

The spelling of 812373120 in words is "eight hundred twelve million, three hundred seventy-three thousand, one hundred twenty".