828980 has 24 divisors (see below), whose sum is σ = 1758120. Its totient is φ = 328320.

The previous prime is 828977. The next prime is 829001. The reversal of 828980 is 89828.

It can be written as a sum of positive squares in 4 ways, for example, as 47524 + 781456 = 218^2 + 884^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 828980.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3506 + ... + 3734.

It is an arithmetic number, because the mean of its divisors is an integer number (73255).

2⁸²⁸⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

828980 is an abundant number, since it is smaller than the sum of its proper divisors (929140).

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

828980 is a wasteful number, since it uses less digits than its factorization.

828980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 828980 is about 910.4833880967. The cubic root of 828980 is about 93.9394509717.

The spelling of 828980 in words is "eight hundred twenty-eight thousand, nine hundred eighty".