380808 has 64 divisors (see below), whose sum is σ = 1108800. Its totient is φ = 120960.

The previous prime is 380803. The next prime is 380819. The reversal of 380808 is 808083.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (380803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8835 + ... + 8877.

It is an arithmetic number, because the mean of its divisors is an integer number (17325).

2³⁸⁰⁸⁰⁸ 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 380808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554400).

380808 is an abundant number, since it is smaller than the sum of its proper divisors (727992).

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

380808 is a wasteful number, since it uses less digits than its factorization.

380808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 89 counting only the distinct ones).

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

The square root of 380808 is about 617.0964268249. The cubic root of 380808 is about 72.4828655505.

The spelling of 380808 in words is "three hundred eighty thousand, eight hundred eight".