387680 has 24 divisors (see below), whose sum is σ = 916272. Its totient is φ = 155008.

The previous prime is 387679. The next prime is 387683. The reversal of 387680 is 86783.

387680 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 not an unprimeable number, because it can be changed into a prime (387683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1052 + ... + 1371.

It is an arithmetic number, because the mean of its divisors is an integer number (38178).

2³⁸⁷⁶⁸⁰ is an apocalyptic number.

It is an amenable number.

387680 is an abundant number, since it is smaller than the sum of its proper divisors (528592).

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

387680 is a wasteful number, since it uses less digits than its factorization.

387680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2430 counting only the distinct ones).

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

The square root of 387680 is about 622.6395425927. The cubic root of 387680 is about 72.9162735580.

The spelling of 387680 in words is "three hundred eighty-seven thousand, six hundred eighty".