812729232 has 180 divisors, whose sum is σ = 2689202880. Its totient is φ = 224449920.

The previous prime is 812729191. The next prime is 812729233. The reversal of 812729232 is 232927218.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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

It is not an unprimeable number, because it can be changed into a prime (812729233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 968269 + ... + 969107.

It is an arithmetic number, because the mean of its divisors is an integer number (14940016).

Almost surely, 2^812729232 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 812729232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344601440).

812729232 is an abundant number, since it is smaller than the sum of its proper divisors (1876473648).

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

812729232 is a wasteful number, since it uses less digits than its factorization.

812729232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 882 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 812729232 is about 28508.4063391835. The cubic root of 812729232 is about 933.2155359269.

The spelling of 812729232 in words is "eight hundred twelve million, seven hundred twenty-nine thousand, two hundred thirty-two".