83280 has 40 divisors (see below), whose sum is σ = 258912. Its totient is φ = 22144.

The previous prime is 83273. The next prime is 83299. The reversal of 83280 is 8238.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

83280 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, 67 + ... + 413.

2⁸³²⁸⁰ is an apocalyptic number.

83280 is a gapful number since it is divisible by the number (80) 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 83280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129456).

83280 is an abundant number, since it is smaller than the sum of its proper divisors (175632).

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

83280 is a wasteful number, since it uses less digits than its factorization.

83280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

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

The square root of 83280 is about 288.5827437668. The cubic root of 83280 is about 43.6697030566.

It can be divided in two parts, 83 and 280, that added together give a palindrome (363).

The spelling of 83280 in words is "eighty-three thousand, two hundred eighty".