380760 has 64 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 95616.

The previous prime is 380753. The next prime is 380777. The reversal of 380760 is 67083.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 380760.

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 380760.

It is an unprimeable number.

380760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2197 + ... + 2363.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2³⁸⁰⁷⁶⁰ is an apocalyptic number.

380760 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 380760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

380760 is an abundant number, since it is smaller than the sum of its proper divisors (828840).

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

380760 is a wasteful number, since it uses less digits than its factorization.

380760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 380760 is about 617.0575337843. The cubic root of 380760 is about 72.4798199880.

The spelling of 380760 in words is "three hundred eighty thousand, seven hundred sixty".