823880 has 32 divisors (see below), whose sum is σ = 1900800. Its totient is φ = 321216.

The previous prime is 823877. The next prime is 823903. The reversal of 823880 is 88328.

It is a nialpdrome in base 8.

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, 1481 + ... + 1959.

It is an arithmetic number, because the mean of its divisors is an integer number (59400).

2⁸²³⁸⁸⁰ 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 823880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950400).

823880 is an abundant number, since it is smaller than the sum of its proper divisors (1076920).

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

823880 is a wasteful number, since it uses less digits than its factorization.

823880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 823880 is about 907.6783571288. The cubic root of 823880 is about 93.7464117145.

The spelling of 823880 in words is "eight hundred twenty-three thousand, eight hundred eighty".