822880 has 48 divisors (see below), whose sum is σ = 2010960. Its totient is φ = 317952.

The previous prime is 822853. The next prime is 822881. The reversal of 822880 is 88228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822881) by changing a digit.

822880 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 7 ways as a sum of consecutive naturals, for example, 5851 + ... + 5989.

It is an arithmetic number, because the mean of its divisors is an integer number (41895).

2⁸²²⁸⁸⁰ is an apocalyptic number.

822880 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 822880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005480).

822880 is an abundant number, since it is smaller than the sum of its proper divisors (1188080).

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

822880 is a wasteful number, since it uses less digits than its factorization.

822880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 822880 is about 907.1273339504. The cubic root of 822880 is about 93.7084675292.

The spelling of 822880 in words is "eight hundred twenty-two thousand, eight hundred eighty".