828756 has 18 divisors (see below), whose sum is σ = 2095002. Its totient is φ = 276240.

The previous prime is 828743. The next prime is 828757. The reversal of 828756 is 657828.

It can be written as a sum of positive squares in only one way, i.e., 562500 + 266256 = 750^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 23021 = 828756 / (8 + 2 + 8 + 7 + 5 + 6).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 828756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828757) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11475 + ... + 11546.

It is an arithmetic number, because the mean of its divisors is an integer number (116389).

2⁸²⁸⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

828756 is an abundant number, since it is smaller than the sum of its proper divisors (1266246).

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

828756 is a wasteful number, since it uses less digits than its factorization.

828756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23031 (or 23026 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 828756 is about 910.3603682059. The cubic root of 828756 is about 93.9309890335.

The spelling of 828756 in words is "eight hundred twenty-eight thousand, seven hundred fifty-six".