812736 has 84 divisors (see below), whose sum is σ = 2496312. Its totient is φ = 251904.

The previous prime is 812731. The next prime is 812759. The reversal of 812736 is 637218.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 812736.

It is not an unprimeable number, because it can be changed into a prime (812731) by changing a digit.

812736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9751 + ... + 9833.

It is an arithmetic number, because the mean of its divisors is an integer number (29718).

2⁸¹²⁷³⁶ 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 812736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248156).

812736 is an abundant number, since it is smaller than the sum of its proper divisors (1683576).

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

812736 is a wasteful number, since it uses less digits than its factorization.

812736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 105 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 812736 is about 901.5187186077. The cubic root of 812736 is about 93.3218126369.

The spelling of 812736 in words is "eight hundred twelve thousand, seven hundred thirty-six".