880824 has 64 divisors (see below), whose sum is σ = 2592000. Its totient is φ = 249312.

The previous prime is 880823. The next prime is 880853. The reversal of 880824 is 428088.

880824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 880791 and 880800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8179 + ... + 8285.

It is an arithmetic number, because the mean of its divisors is an integer number (40500).

2⁸⁸⁰⁸²⁴ is an apocalyptic number.

880824 is a gapful number since it is divisible by the number (84) 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 880824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296000).

880824 is an abundant number, since it is smaller than the sum of its proper divisors (1711176).

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

880824 is a wasteful number, since it uses less digits than its factorization.

880824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 880824 is about 938.5222426773. The cubic root of 880824 is about 95.8582978860.

The spelling of 880824 in words is "eight hundred eighty thousand, eight hundred twenty-four".