812882688 has 72 divisors (see below), whose sum is σ = 2167662000. Its totient is φ = 270434304.

The previous prime is 812882627. The next prime is 812882689. The reversal of 812882688 is 886288218.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 812882688.

It is not an unprimeable number, because it can be changed into a prime (812882689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 774388 + ... + 775436.

Almost surely, 2^812882688 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 812882688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083831000).

812882688 is an abundant number, since it is smaller than the sum of its proper divisors (1354779312).

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

812882688 is a wasteful number, since it uses less digits than its factorization.

812882688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2063 counting only the distinct ones).

The product of its digits is 786432, while the sum is 51.

The square root of 812882688 is about 28511.0976288182. The cubic root of 812882688 is about 933.2742674639.

The spelling of 812882688 in words is "eight hundred twelve million, eight hundred eighty-two thousand, six hundred eighty-eight".