812729632 has 96 divisors (see below), whose sum is σ = 1900209024. Its totient is φ = 337305600.

The previous prime is 812729623. The next prime is 812729651. The reversal of 812729632 is 236927218.

It is an alternating number because its digits alternate between even and odd.

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, 442957 + ... + 444787.

It is an arithmetic number, because the mean of its divisors is an integer number (19793844).

Almost surely, 2^812729632 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 812729632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950104512).

812729632 is an abundant number, since it is smaller than the sum of its proper divisors (1087479392).

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

812729632 is a wasteful number, since it uses less digits than its factorization.

812729632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1954 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 812729632 is about 28508.4133546573. The cubic root of 812729632 is about 933.2156890267.

The spelling of 812729632 in words is "eight hundred twelve million, seven hundred twenty-nine thousand, six hundred thirty-two".