80384 has 20 divisors (see below), whose sum is σ = 161634. Its totient is φ = 39936.

The previous prime is 80369. The next prime is 80387. The reversal of 80384 is 48308.

It can be written as a sum of positive squares in only one way, i.e., 73984 + 6400 = 272^2 + 80^2 .

It is not an unprimeable number, because it can be changed into a prime (80387) 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 as a sum of consecutive naturals, namely, 434 + ... + 590.

2⁸⁰³⁸⁴ 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 80384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80817).

80384 is an abundant number, since it is smaller than the sum of its proper divisors (81250).

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

80384 is an equidigital number, since it uses as much as digits as its factorization.

80384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 80384 is about 283.5207223467. The cubic root of 80384 is about 43.1575256969.

It can be divided in two parts, 80 and 384, that added together give a palindrome (464).

The spelling of 80384 in words is "eighty thousand, three hundred eighty-four".