812572992 has 448 divisors, whose sum is σ = 3089940480. Its totient is φ = 203212800.

The previous prime is 812572967. The next prime is 812573017. The reversal of 812572992 is 299275218.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (812572967) and next prime (812573017).

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4124638 + ... + 4124834.

Almost surely, 2^812572992 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 812572992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544970240).

812572992 is an abundant number, since it is smaller than the sum of its proper divisors (2277367488).

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

812572992 is a wasteful number, since it uses less digits than its factorization.

812572992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 812572992 is about 28505.6659631028. The cubic root of 812572992 is about 933.1557312860.

The spelling of 812572992 in words is "eight hundred twelve million, five hundred seventy-two thousand, nine hundred ninety-two".