829728720 has 120 divisors (see below), whose sum is σ = 2825926272. Its totient is φ = 218131200.

The previous prime is 829728677. The next prime is 829728721. The reversal of 829728720 is 27827928.

It is a happy number.

829728720 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829728721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43005 + ... + 59235.

Almost surely, 2^829728720 is an apocalyptic number.

829728720 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 829728720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412963136).

829728720 is an abundant number, since it is smaller than the sum of its proper divisors (1996197552).

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

829728720 is a wasteful number, since it uses less digits than its factorization.

829728720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16321 (or 16312 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 829728720 is about 28805.0120638753. The cubic root of 829728720 is about 939.6772394228.

The spelling of 829728720 in words is "eight hundred twenty-nine million, seven hundred twenty-eight thousand, seven hundred twenty".