388080 has 180 divisors, whose sum is σ = 1653912. Its totient is φ = 80640.

The previous prime is 388067. The next prime is 388081. The reversal of 388080 is 80883.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388081) by changing a digit.

388080 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 35 ways as a sum of consecutive naturals, for example, 35275 + ... + 35285.

2³⁸⁸⁰⁸⁰ is an apocalyptic number.

388080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

388080 is the 360-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826956).

388080 is an abundant number, since it is smaller than the sum of its proper divisors (1265832).

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

388080 is a wasteful number, since it uses less digits than its factorization.

388080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 388080 is about 622.9606729160. The cubic root of 388080 is about 72.9413427594.

It can be divided in two parts, 38 and 8080, that added together give a palindrome (8118).

The spelling of 388080 in words is "three hundred eighty-eight thousand, eighty".