319880 has 32 divisors (see below), whose sum is σ = 786240. Its totient is φ = 116160.

The previous prime is 319849. The next prime is 319883. The reversal of 319880 is 88913.

It is a happy number.

319880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

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 319880.

It is not an unprimeable number, because it can be changed into a prime (319883) by changing a digit.

319880 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 7 ways as a sum of consecutive naturals, for example, 77 + ... + 803.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2³¹⁹⁸⁸⁰ 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 319880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120).

319880 is an abundant number, since it is smaller than the sum of its proper divisors (466360).

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

319880 is a wasteful number, since it uses less digits than its factorization.

319880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 319880 is about 565.5793489865. The cubic root of 319880 is about 68.3904869184.

The spelling of 319880 in words is "three hundred nineteen thousand, eight hundred eighty".