380680 has 32 divisors (see below), whose sum is σ = 887040. Its totient is φ = 146880.

The previous prime is 380657. The next prime is 380707. The reversal of 380680 is 86083.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

380680 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, 1087 + ... + 1393.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2³⁸⁰⁶⁸⁰ 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 380680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520).

380680 is an abundant number, since it is smaller than the sum of its proper divisors (506360).

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

380680 is a wasteful number, since it uses less digits than its factorization.

380680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 380680 is about 616.9927066020. The cubic root of 380680 is about 72.4747434815.

The spelling of 380680 in words is "three hundred eighty thousand, six hundred eighty".