80128 has 18 divisors (see below), whose sum is σ = 160454. Its totient is φ = 39936.

The previous prime is 80111. The next prime is 80141. The reversal of 80128 is 82108.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 43264 + 36864 = 208^2 + 192^2 .

It is a congruent number.

It is an unprimeable number.

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, 100 + ... + 412.

2⁸⁰¹²⁸ 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 80128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80227).

80128 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

80128 is an equidigital number, since it uses as much as digits as its factorization.

80128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 80128 is about 283.0688962073. The cubic root of 80128 is about 43.1116621919. Note that the first 3 decimals are identical.

80128 divided by its product of nonzero digits (128) gives a palindrome (626).

The spelling of 80128 in words is "eighty thousand, one hundred twenty-eight".