829384920 has 640 divisors, whose sum is σ = 3585859200. Its totient is φ = 167215104.

The previous prime is 829384909. The next prime is 829384951. The reversal of 829384920 is 29483928.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8550312 + ... + 8550408.

It is an arithmetic number, because the mean of its divisors is an integer number (5602905).

Almost surely, 2^829384920 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 829384920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792929600).

829384920 is an abundant number, since it is smaller than the sum of its proper divisors (2756474280).

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

829384920 is a wasteful number, since it uses less digits than its factorization.

829384920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 829384920 is about 28799.0437341242. The cubic root of 829384920 is about 939.5474356858.

The spelling of 829384920 in words is "eight hundred twenty-nine million, three hundred eighty-four thousand, nine hundred twenty".