389760 has 128 divisors (see below), whose sum is σ = 1468800. Its totient is φ = 86016.

The previous prime is 389749. The next prime is 389761. The reversal of 389760 is 67983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an Ulam number.

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 389760.

It is not an unprimeable number, because it can be changed into a prime (389761) by changing a digit.

389760 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, 13426 + ... + 13454.

It is an arithmetic number, because the mean of its divisors is an integer number (11475).

2³⁸⁹⁷⁶⁰ is an apocalyptic number.

389760 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 389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734400).

389760 is an abundant number, since it is smaller than the sum of its proper divisors (1079040).

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

389760 is a wasteful number, since it uses less digits than its factorization.

389760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 389760 is about 624.3076164841. The cubic root of 389760 is about 73.0464457042.

The spelling of 389760 in words is "three hundred eighty-nine thousand, seven hundred sixty".