320080 has 20 divisors (see below), whose sum is σ = 744372. Its totient is φ = 128000.

The previous prime is 320063. The next prime is 320081. The reversal of 320080 is 80023.

It can be written as a sum of positive squares in 2 ways, for example, as 53824 + 266256 = 232^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 320080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320081) by changing a digit.

320080 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 1921 + ... + 2080.

2³²⁰⁰⁸⁰ is an apocalyptic number.

It is an amenable number.

320080 is an abundant number, since it is smaller than the sum of its proper divisors (424292).

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

320080 is a wasteful number, since it uses less digits than its factorization.

320080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 320080 is about 565.7561312085. The cubic root of 320080 is about 68.4047373120.

The spelling of 320080 in words is "three hundred twenty thousand, eighty".