312080 has 40 divisors (see below), whose sum is σ = 749952. Its totient is φ = 120704.

The previous prime is 312073. The next prime is 312083. The reversal of 312080 is 80213.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (312083) by changing a digit.

312080 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 7 ways as a sum of consecutive naturals, for example, 3719 + ... + 3801.

2³¹²⁰⁸⁰ 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 312080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976).

312080 is an abundant number, since it is smaller than the sum of its proper divisors (437872).

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

312080 is a wasteful number, since it uses less digits than its factorization.

312080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 312080 is about 558.6412086483. The cubic root of 312080 is about 67.8300253075.

Adding to 312080 its reverse (80213), we get a palindrome (392293).

The spelling of 312080 in words is "three hundred twelve thousand, eighty".