829079532 has 72 divisors (see below), whose sum is σ = 2154598992. Its totient is φ = 268646400.

The previous prime is 829079527. The next prime is 829079561. The reversal of 829079532 is 235970928.

It is a super-3 number, since 3×829079532³ (a number of 28 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487708 + ... + 489404.

It is an arithmetic number, because the mean of its divisors is an integer number (29924986).

Almost surely, 2^829079532 is an apocalyptic number.

829079532 is a gapful number since it is divisible by the number (82) 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 829079532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077299496).

829079532 is an abundant number, since it is smaller than the sum of its proper divisors (1325519460).

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

829079532 is a wasteful number, since it uses less digits than its factorization.

829079532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 829079532 is about 28793.7411949194. The cubic root of 829079532 is about 939.4321045414.

The spelling of 829079532 in words is "eight hundred twenty-nine million, seventy-nine thousand, five hundred thirty-two".