829120320 has 224 divisors, whose sum is σ = 3343046400. Its totient is φ = 189499392.

The previous prime is 829120291. The next prime is 829120339. The reversal of 829120320 is 23021928.

It is a happy number.

829120320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53626 + ... + 67334.

Almost surely, 2^829120320 is an apocalyptic number.

829120320 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 829120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671523200).

829120320 is an abundant number, since it is smaller than the sum of its proper divisors (2513926080).

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

829120320 is a wasteful number, since it uses less digits than its factorization.

829120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13742 (or 13726 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 829120320 is about 28794.4494651313. The cubic root of 829120320 is about 939.4475099506.

The spelling of 829120320 in words is "eight hundred twenty-nine million, one hundred twenty thousand, three hundred twenty".