380120 has 64 divisors (see below), whose sum is σ = 997920. Its totient is φ = 129024.

The previous prime is 380117. The next prime is 380129. The reversal of 380120 is 21083.

It is a junction number, because it is equal to n+sod(n) for n = 380095 and 380104.

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 380120.

It is not an unprimeable number, because it can be changed into a prime (380129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8819 + ... + 8861.

2³⁸⁰¹²⁰ 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 380120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498960).

380120 is an abundant number, since it is smaller than the sum of its proper divisors (617800).

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

380120 is a wasteful number, since it uses less digits than its factorization.

380120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 80 counting only the distinct ones).

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

The square root of 380120 is about 616.5387254666. The cubic root of 380120 is about 72.4391880072.

The spelling of 380120 in words is "three hundred eighty thousand, one hundred twenty".