820980 has 36 divisors (see below), whose sum is σ = 2490852. Its totient is φ = 218880.

The previous prime is 820969. The next prime is 820991. The reversal of 820980 is 89028.

820980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (820969) and next prime (820991).

It can be written as a sum of positive squares in 2 ways, for example, as 285156 + 535824 = 534^2 + 732^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

820980 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, 2101 + ... + 2460.

2⁸²⁰⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

820980 is an abundant number, since it is smaller than the sum of its proper divisors (1669872).

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

820980 is a wasteful number, since it uses less digits than its factorization.

820980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 820980 is about 906.0794667136. The cubic root of 820980 is about 93.6362887999.

The spelling of 820980 in words is "eight hundred twenty thousand, nine hundred eighty".