83380 has 24 divisors (see below), whose sum is σ = 191520. Its totient is φ = 30240.

The previous prime is 83357. The next prime is 83383. The reversal of 83380 is 8338.

83380 is nontrivially palindromic in base 12.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31 + ... + 409.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2⁸³³⁸⁰ 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 83380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760).

83380 is an abundant number, since it is smaller than the sum of its proper divisors (108140).

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

83380 is a wasteful number, since it uses less digits than its factorization.

83380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 83380 is about 288.7559523196. The cubic root of 83380 is about 43.6871751330.

The spelling of 83380 in words is "eighty-three thousand, three hundred eighty".