80444 has 36 divisors (see below), whose sum is σ = 184464. Its totient is φ = 29952.

The previous prime is 80429. The next prime is 80447. The reversal of 80444 is 44408.

80444 = 25² + 26² + ... + 63².

80444 is a modest number, since divided by 444 gives 80 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 80444.

It is not an unprimeable number, because it can be changed into a prime (80447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4724 + ... + 4740.

It is an arithmetic number, because the mean of its divisors is an integer number (5124).

2⁸⁰⁴⁴⁴ 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 80444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92232).

80444 is an abundant number, since it is smaller than the sum of its proper divisors (104020).

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

80444 is a wasteful number, since it uses less digits than its factorization.

80444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 80444 is about 283.6265149805. The cubic root of 80444 is about 43.1682608661.

It can be divided in two parts, 804 and 44, that added together give a palindrome (848).

The spelling of 80444 in words is "eighty thousand, four hundred forty-four".