829216320 has 56 divisors (see below), whose sum is σ = 2632764864. Its totient is φ = 221124096.

The previous prime is 829216273. The next prime is 829216351. The reversal of 829216320 is 23612928.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 430924 + ... + 432843.

Almost surely, 2^829216320 is an apocalyptic number.

829216320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

829216320 is an abundant number, since it is smaller than the sum of its proper divisors (1803548544).

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

829216320 is a wasteful number, since it uses less digits than its factorization.

829216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863787 (or 863777 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 829216320 is about 28796.1164048210. The cubic root of 829216320 is about 939.4837666427.

The spelling of 829216320 in words is "eight hundred twenty-nine million, two hundred sixteen thousand, three hundred twenty".