828776 has 24 divisors (see below), whose sum is σ = 1685430. Its totient is φ = 381888.

The previous prime is 828757. The next prime is 828787. The reversal of 828776 is 677828.

It can be written as a sum of positive squares in 3 ways, for example, as 139876 + 688900 = 374^2 + 830^2 .

It is a d-powerful number, because it can be written as 8³ + 2⁹ + 7⁴ + 8³ + 7⁷ + 6⁴ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 828776.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1046 + ... + 1658.

2⁸²⁸⁷⁷⁶ 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 828776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842715).

828776 is an abundant number, since it is smaller than the sum of its proper divisors (856654).

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

828776 is a wasteful number, since it uses less digits than its factorization.

828776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 628 counting only the distinct ones).

The product of its digits is 37632, while the sum is 38.

The square root of 828776 is about 910.3713528006. The cubic root of 828776 is about 93.9317446257.

The spelling of 828776 in words is "eight hundred twenty-eight thousand, seven hundred seventy-six".