345780 has 72 divisors (see below), whose sum is σ = 1120392. Its totient is φ = 86016.

The previous prime is 345773. The next prime is 345791. The reversal of 345780 is 87543.

It can be written as a sum of positive squares in 4 ways, for example, as 7056 + 338724 = 84^2 + 582^2 .

It is a congruent number.

It is an unprimeable number.

345780 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 23 ways as a sum of consecutive naturals, for example, 3004 + ... + 3116.

It is an arithmetic number, because the mean of its divisors is an integer number (15561).

2³⁴⁵⁷⁸⁰ is an apocalyptic number.

345780 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 345780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560196).

345780 is an abundant number, since it is smaller than the sum of its proper divisors (774612).

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

345780 is a wasteful number, since it uses less digits than its factorization.

345780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 345780 is about 588.0306114481. The cubic root of 345780 is about 70.1886070098.

The spelling of 345780 in words is "three hundred forty-five thousand, seven hundred eighty".