387800 has 48 divisors (see below), whose sum is σ = 1034160. Its totient is φ = 132480.

The previous prime is 387799. The next prime is 387839. The reversal of 387800 is 8783.

It is a self number, because there is not a number n which added to its sum of digits gives 387800.

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 387800.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 1262 + ... + 1538.

It is an arithmetic number, because the mean of its divisors is an integer number (21545).

2³⁸⁷⁸⁰⁰ 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 387800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517080).

387800 is an abundant number, since it is smaller than the sum of its proper divisors (646360).

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

387800 is a wasteful number, since it uses less digits than its factorization.

387800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 387800 is about 622.7358990776. The cubic root of 387800 is about 72.9237961283.

The spelling of 387800 in words is "three hundred eighty-seven thousand, eight hundred".