829980 has 96 divisors (see below), whose sum is σ = 2721600. Its totient is φ = 209664.

The previous prime is 829979. The next prime is 829987. The reversal of 829980 is 89928.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15634 + ... + 15686.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2⁸²⁹⁹⁸⁰ 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 829980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360800).

829980 is an abundant number, since it is smaller than the sum of its proper divisors (1891620).

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

829980 is a wasteful number, since it uses less digits than its factorization.

829980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 829980 is about 911.0323814223. The cubic root of 829980 is about 93.9772089004.

The spelling of 829980 in words is "eight hundred twenty-nine thousand, nine hundred eighty".