829852320 has 192 divisors, whose sum is σ = 2892081024. Its totient is φ = 198328320.

The previous prime is 829852319. The next prime is 829852321. The reversal of 829852320 is 23258928.

It is an interprime number because it is at equal distance from previous prime (829852319) and next prime (829852321).

It is not an unprimeable number, because it can be changed into a prime (829852321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 384364 + ... + 386516.

It is an arithmetic number, because the mean of its divisors is an integer number (15062922).

Almost surely, 2^829852320 is an apocalyptic number.

829852320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829852320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446040512).

829852320 is an abundant number, since it is smaller than the sum of its proper divisors (2062228704).

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

829852320 is a wasteful number, since it uses less digits than its factorization.

829852320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 829852320 is about 28807.1574439409. The cubic root of 829852320 is about 939.7238965760.

The spelling of 829852320 in words is "eight hundred twenty-nine million, eight hundred fifty-two thousand, three hundred twenty".