822080 has 56 divisors (see below), whose sum is σ = 2243328. Its totient is φ = 281088.

The previous prime is 822079. The next prime is 822113. The reversal of 822080 is 80228.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 2057 + ... + 2423.

2⁸²²⁰⁸⁰ is an apocalyptic number.

822080 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 822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121664).

822080 is an abundant number, since it is smaller than the sum of its proper divisors (1421248).

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

822080 is a wasteful number, since it uses less digits than its factorization.

822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 381 counting only the distinct ones).

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

The square root of 822080 is about 906.6862742978. The cubic root of 822080 is about 93.6780900415.

The spelling of 822080 in words is "eight hundred twenty-two thousand, eighty".