829808 has 40 divisors (see below), whose sum is σ = 1904640. Its totient is φ = 342720.

The previous prime is 829789. The next prime is 829811. The reversal of 829808 is 808928.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

829808 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 7 ways as a sum of consecutive naturals, for example, 3353 + ... + 3591.

It is an arithmetic number, because the mean of its divisors is an integer number (47616).

2⁸²⁹⁸⁰⁸ 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 829808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952320).

829808 is an abundant number, since it is smaller than the sum of its proper divisors (1074832).

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

829808 is a wasteful number, since it uses less digits than its factorization.

829808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

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

The square root of 829808 is about 910.9379781302. The cubic root of 829808 is about 93.9707166971.

The spelling of 829808 in words is "eight hundred twenty-nine thousand, eight hundred eight".