829842208 has 96 divisors (see below), whose sum is σ = 1879549056. Its totient is φ = 357654528.

The previous prime is 829842197. The next prime is 829842229. The reversal of 829842208 is 802248928.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410416 + ... + 412432.

It is an arithmetic number, because the mean of its divisors is an integer number (19578636).

Almost surely, 2^829842208 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 829842208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939774528).

829842208 is an abundant number, since it is smaller than the sum of its proper divisors (1049706848).

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

829842208 is a wasteful number, since it uses less digits than its factorization.

829842208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 829842208 is about 28806.9819314693. The cubic root of 829842208 is about 939.7200796211.

The spelling of 829842208 in words is "eight hundred twenty-nine million, eight hundred forty-two thousand, two hundred eight".