386880 has 112 divisors (see below), whose sum is σ = 1365504. Its totient is φ = 92160.

The previous prime is 386851. The next prime is 386887. The reversal of 386880 is 88683.

It is a super-2 number, since 2×386880² = 299352268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386887) by changing a digit.

386880 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, 12465 + ... + 12495.

It is an arithmetic number, because the mean of its divisors is an integer number (12192).

2³⁸⁶⁸⁸⁰ is an apocalyptic number.

386880 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 386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682752).

386880 is an abundant number, since it is smaller than the sum of its proper divisors (978624).

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

386880 is a wasteful number, since it uses less digits than its factorization.

386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 386880 is about 621.9967845576. The cubic root of 386880 is about 72.8660833758.

The spelling of 386880 in words is "three hundred eighty-six thousand, eight hundred eighty".