380880 has 90 divisors (see below), whose sum is σ = 1337154. Its totient is φ = 97152.

The previous prime is 380879. The next prime is 380881. The reversal of 380880 is 88083.

380880 = T₁₀₅ + T₁₀₆ + ... + T₁₅₀.

It is an interprime number because it is at equal distance from previous prime (380879) and next prime (380881).

It can be written as a sum of positive squares in only one way, i.e., 304704 + 76176 = 552^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380881) 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 17 ways as a sum of consecutive naturals, for example, 16549 + ... + 16571.

2³⁸⁰⁸⁸⁰ is an apocalyptic number.

380880 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 380880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668577).

380880 is an abundant number, since it is smaller than the sum of its proper divisors (956274).

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

380880 is a wasteful number, since it uses less digits than its factorization.

380880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 33 counting only the distinct ones).

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

The square root of 380880 is about 617.1547617899. The cubic root of 380880 is about 72.4874334145.

The spelling of 380880 in words is "three hundred eighty thousand, eight hundred eighty".