320880 has 80 divisors (see below), whose sum is σ = 1142784. Its totient is φ = 72960.

The previous prime is 320867. The next prime is 320899. The reversal of 320880 is 88023.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 320880.

It is an unprimeable number.

320880 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, 1585 + ... + 1775.

2³²⁰⁸⁸⁰ is an apocalyptic number.

320880 is a gapful number since it is divisible by the number (30) 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 320880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571392).

320880 is an abundant number, since it is smaller than the sum of its proper divisors (821904).

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

320880 is a wasteful number, since it uses less digits than its factorization.

320880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

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

The square root of 320880 is about 566.4627083931. The cubic root of 320880 is about 68.4616795986.

The spelling of 320880 in words is "three hundred twenty thousand, eight hundred eighty".