82380 has 24 divisors (see below), whose sum is σ = 230832. Its totient is φ = 21952.

The previous prime is 82373. The next prime is 82387. The reversal of 82380 is 8328.

It is an interprime number because it is at equal distance from previous prime (82373) and next prime (82387).

It is not an unprimeable number, because it can be changed into a prime (82387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 627 + ... + 746.

It is an arithmetic number, because the mean of its divisors is an integer number (9618).

2⁸²³⁸⁰ is an apocalyptic number.

It is an amenable number.

82380 is an abundant number, since it is smaller than the sum of its proper divisors (148452).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115416).

82380 is a wasteful number, since it uses less digits than its factorization.

82380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 82380 is about 287.0191631233. The cubic root of 82380 is about 43.5118213347.

It can be divided in two parts, 823 and 80, that added together give a triangular number (903 = T₄₂).

The spelling of 82380 in words is "eighty-two thousand, three hundred eighty".