811980 has 72 divisors (see below), whose sum is σ = 2660112. Its totient is φ = 199296.

The previous prime is 811961. The next prime is 811981. The reversal of 811980 is 89118.

811980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (811981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2167 + ... + 2513.

It is an arithmetic number, because the mean of its divisors is an integer number (36946).

2⁸¹¹⁹⁸⁰ 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 811980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330056).

811980 is an abundant number, since it is smaller than the sum of its proper divisors (1848132).

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

811980 is a wasteful number, since it uses less digits than its factorization.

811980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 811980 is about 901.0993285981. The cubic root of 811980 is about 93.2928679460.

The spelling of 811980 in words is "eight hundred eleven thousand, nine hundred eighty".