380768 has 24 divisors (see below), whose sum is σ = 764568. Its totient is φ = 186624.

The previous prime is 380753. The next prime is 380777. The reversal of 380768 is 867083.

380768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2255 + ... + 2417.

It is an arithmetic number, because the mean of its divisors is an integer number (31857).

2³⁸⁰⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

380768 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

380768 is a wasteful number, since it uses less digits than its factorization.

380768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 380768 is about 617.0640161280. The cubic root of 380768 is about 72.4803275995.

The spelling of 380768 in words is "three hundred eighty thousand, seven hundred sixty-eight".