82480 has 20 divisors (see below), whose sum is σ = 191952. Its totient is φ = 32960.

The previous prime is 82471. The next prime is 82483. The reversal of 82480 is 8428.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (82483) by changing a digit.

82480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 436 + ... + 595.

2⁸²⁴⁸⁰ is an apocalyptic number.

82480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82480 is an abundant number, since it is smaller than the sum of its proper divisors (109472).

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 (95976).

82480 is a wasteful number, since it uses less digits than its factorization.

82480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 82480 is about 287.1933146854. The cubic root of 82480 is about 43.5294203584.

The spelling of 82480 in words is "eighty-two thousand, four hundred eighty".