80556 has 36 divisors (see below), whose sum is σ = 220248. Its totient is φ = 22848.

The previous prime is 80537. The next prime is 80557. The reversal of 80556 is 65508.

80556 = 14² + 15² + ... + 62².

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (80557) by changing a digit.

80556 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 11 ways as a sum of consecutive naturals, for example, 520 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (6118).

2⁸⁰⁵⁵⁶ 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 80556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110124).

80556 is an abundant number, since it is smaller than the sum of its proper divisors (139692).

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

80556 is a wasteful number, since it uses less digits than its factorization.

80556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 80556 is about 283.8238890580. The cubic root of 80556 is about 43.1882855754.

It can be divided in two parts, 805 and 56, that added together give a triangular number (861 = T₄₁).

The spelling of 80556 in words is "eighty thousand, five hundred fifty-six".