822800 has 90 divisors (see below), whose sum is σ = 2300634. Its totient is φ = 281600.

The previous prime is 822793. The next prime is 822803. The reversal of 822800 is 8228.

It can be written as a sum of positive squares in 3 ways, for example, as 123904 + 698896 = 352^2 + 836^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (822803) by changing a digit.

822800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 17 ways as a sum of consecutive naturals, for example, 48392 + ... + 48408.

2⁸²²⁸⁰⁰ is an apocalyptic number.

822800 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 822800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150317).

822800 is an abundant number, since it is smaller than the sum of its proper divisors (1477834).

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

822800 is a wasteful number, since it uses less digits than its factorization.

822800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 822800 is about 907.0832376359. The cubic root of 822800 is about 93.7054306667.

Multiplying 822800 by its reverse (8228), we get a square (6769998400 = 82280²).

822800 divided by its reverse (8228) gives a square (100 = 10²).

It can be divided in two parts, 82 and 2800, that added together give a palindrome (2882).

The spelling of 822800 in words is "eight hundred twenty-two thousand, eight hundred".