812358672 has 80 divisors (see below), whose sum is σ = 2181527040. Its totient is φ = 260176896.

The previous prime is 812358667. The next prime is 812358683. The reversal of 812358672 is 276853218.

It is a super-2 number, since 2×812358672² = 1319853223947207168, which contains 22 as substring.

Its product of digits (161280) is a multiple of the sum of its prime factors (2880).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309108 + ... + 311724.

It is an arithmetic number, because the mean of its divisors is an integer number (27269088).

Almost surely, 2^812358672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812358672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090763520).

812358672 is an abundant number, since it is smaller than the sum of its proper divisors (1369168368).

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

812358672 is a wasteful number, since it uses less digits than its factorization.

812358672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2874 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 812358672 is about 28501.9064625509. The cubic root of 812358672 is about 933.0736826479.

It can be divided in two parts, 8123 and 58672, that added together give a triangular number (66795 = T₃₆₅).

The spelling of 812358672 in words is "eight hundred twelve million, three hundred fifty-eight thousand, six hundred seventy-two".