386800 has 30 divisors (see below), whose sum is σ = 930248. Its totient is φ = 154560.

The previous prime is 386777. The next prime is 386809. The reversal of 386800 is 8683.

It is a super-2 number, since 2×386800² = 299228480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386809) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 84 + ... + 883.

2³⁸⁶⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

386800 is an abundant number, since it is smaller than the sum of its proper divisors (543448).

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

386800 is a wasteful number, since it uses less digits than its factorization.

386800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 386800 is about 621.9324722186. The cubic root of 386800 is about 72.8610605535.

The spelling of 386800 in words is "three hundred eighty-six thousand, eight hundred".