80082 has 16 divisors (see below), whose sum is σ = 178080. Its totient is φ = 26676.

The previous prime is 80077. The next prime is 80107. The reversal of 80082 is 28008.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

80082 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 7 ways as a sum of consecutive naturals, for example, 688 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (11130).

2⁸⁰⁰⁸² is an apocalyptic number.

80082 is an abundant number, since it is smaller than the sum of its proper divisors (97998).

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 (89040).

80082 is a wasteful number, since it uses less digits than its factorization.

80082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 80082 is about 282.9876322386. The cubic root of 80082 is about 43.1034107439.

The spelling of 80082 in words is "eighty thousand, eighty-two".