80980 has 12 divisors (see below), whose sum is σ = 170100. Its totient is φ = 32384.

The previous prime is 80963. The next prime is 80989. The reversal of 80980 is 8908.

It can be written as a sum of positive squares in 2 ways, for example, as 24336 + 56644 = 156^2 + 238^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80989) by changing a digit.

80980 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 3 ways as a sum of consecutive naturals, for example, 2005 + ... + 2044.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2⁸⁰⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

80980 is an abundant number, since it is smaller than the sum of its proper divisors (89120).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85050).

80980 is a wasteful number, since it uses less digits than its factorization.

80980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 80980 is about 284.5698508275. The cubic root of 80980 is about 43.2639257060.

It can be divided in two parts, 80 and 980, that multiplied together give a square (78400 = 280²).

The spelling of 80980 in words is "eighty thousand, nine hundred eighty".