823080 has 64 divisors (see below), whose sum is σ = 2606400. Its totient is φ = 207936.

The previous prime is 823051. The next prime is 823117. The reversal of 823080 is 80328.

It is an unprimeable number.

823080 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 15 ways as a sum of consecutive naturals, for example, 43311 + ... + 43329.

It is an arithmetic number, because the mean of its divisors is an integer number (40725).

2⁸²³⁰⁸⁰ 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 823080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303200).

823080 is an abundant number, since it is smaller than the sum of its proper divisors (1783320).

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

823080 is a wasteful number, since it uses less digits than its factorization.

823080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 823080 is about 907.2375653598. The cubic root of 823080 is about 93.7160588246.

The spelling of 823080 in words is "eight hundred twenty-three thousand, eighty".