828800 has 96 divisors (see below), whose sum is σ = 2403120. Its totient is φ = 276480.

The previous prime is 828797. The next prime is 828809. The reversal of 828800 is 8828.

It is a self number, because there is not a number n which added to its sum of digits gives 828800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22382 + ... + 22418.

2⁸²⁸⁸⁰⁰ is an apocalyptic number.

828800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201560).

828800 is an abundant number, since it is smaller than the sum of its proper divisors (1574320).

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

828800 is a wasteful number, since it uses less digits than its factorization.

828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 828800 is about 910.3845341393. The cubic root of 828800 is about 93.9326513203.

It can be divided in two parts, 8 and 28800, that multiplied together give a square (230400 = 480²).

The spelling of 828800 in words is "eight hundred twenty-eight thousand, eight hundred".