829994752 has 36 divisors (see below), whose sum is σ = 1663476696. Its totient is φ = 413312000.

The previous prime is 829994749. The next prime is 829994783. The reversal of 829994752 is 257499928.

It is a junction number, because it is equal to n+sod(n) for n = 829994693 and 829994702.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 57798 + ... + 70714.

It is an arithmetic number, because the mean of its divisors is an integer number (46207686).

Almost surely, 2^829994752 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 829994752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831738348).

829994752 is an abundant number, since it is smaller than the sum of its proper divisors (833481944).

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

829994752 is a wasteful number, since it uses less digits than its factorization.

829994752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13184 (or 13170 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 55.

The square root of 829994752 is about 28809.6295012622. The cubic root of 829994752 is about 939.7776567829. Note that the first 3 decimals are identical.

The spelling of 829994752 in words is "eight hundred twenty-nine million, nine hundred ninety-four thousand, seven hundred fifty-two".