83080 has 32 divisors (see below), whose sum is σ = 195840. Its totient is φ = 31680.

The previous prime is 83077. The next prime is 83089. The reversal of 83080 is 8038.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (83089) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1207 + ... + 1273.

It is an arithmetic number, because the mean of its divisors is an integer number (6120).

2⁸³⁰⁸⁰ 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 83080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97920).

83080 is an abundant number, since it is smaller than the sum of its proper divisors (112760).

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

83080 is a wasteful number, since it uses less digits than its factorization.

83080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 83080 is about 288.2360144049. The cubic root of 83080 is about 43.6347168991.

The spelling of 83080 in words is "eighty-three thousand, eighty".