307380 has 48 divisors (see below), whose sum is σ = 887040. Its totient is φ = 79488.

The previous prime is 307367. The next prime is 307381. The reversal of 307380 is 83703.

307380 is nontrivially palindromic in base 16.

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 307380.

It is not an unprimeable number, because it can be changed into a prime (307381) by changing a digit.

307380 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, 2766 + ... + 2874.

It is an arithmetic number, because the mean of its divisors is an integer number (18480).

2³⁰⁷³⁸⁰ is an apocalyptic number.

307380 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 307380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520).

307380 is an abundant number, since it is smaller than the sum of its proper divisors (579660).

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

307380 is a wasteful number, since it uses less digits than its factorization.

307380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 307380 is about 554.4186144061. The cubic root of 307380 is about 67.4877892864.

The spelling of 307380 in words is "three hundred seven thousand, three hundred eighty".