812772 has 36 divisors (see below), whose sum is σ = 2083536. Its totient is φ = 267120.

The previous prime is 812761. The next prime is 812807. The reversal of 812772 is 277218.

812772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

812772 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, 3747 + ... + 3957.

It is an arithmetic number, because the mean of its divisors is an integer number (57876).

2⁸¹²⁷⁷² is an apocalyptic number.

It is an amenable number.

812772 is an abundant number, since it is smaller than the sum of its proper divisors (1270764).

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

812772 is a wasteful number, since it uses less digits than its factorization.

812772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 323 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 812772 is about 901.5386846941. The cubic root of 812772 is about 93.3231905078.

The spelling of 812772 in words is "eight hundred twelve thousand, seven hundred seventy-two".