829406752 has 48 divisors (see below), whose sum is σ = 1691188632. Its totient is φ = 400158720.

The previous prime is 829406713. The next prime is 829406771. The reversal of 829406752 is 257604928.

It can be written as a sum of positive squares in 4 ways, for example, as 609299856 + 220106896 = 24684^2 + 14836^2 .

It is a junction number, because it is equal to n+sod(n) for n = 829406699 and 829406708.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99448 + ... + 107464.

Almost surely, 2^829406752 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 829406752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845594316).

829406752 is an abundant number, since it is smaller than the sum of its proper divisors (861781880).

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

829406752 is a wasteful number, since it uses less digits than its factorization.

829406752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8141 (or 8133 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 829406752 is about 28799.4227719932. The cubic root of 829406752 is about 939.5556795539. Note that the first 3 decimals are identical.

The spelling of 829406752 in words is "eight hundred twenty-nine million, four hundred six thousand, seven hundred fifty-two".