829801896 has 128 divisors (see below), whose sum is σ = 2722636800. Its totient is φ = 204180480.

The previous prime is 829801883. The next prime is 829801919. The reversal of 829801896 is 698108928.

829801896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 23296 + ... + 46928.

It is an arithmetic number, because the mean of its divisors is an integer number (21270600).

Almost surely, 2^829801896 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 829801896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361318400).

829801896 is an abundant number, since it is smaller than the sum of its proper divisors (1892834904).

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

829801896 is a wasteful number, since it uses less digits than its factorization.

829801896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23679 (or 23675 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The square root of 829801896 is about 28806.2822314855. The cubic root of 829801896 is about 939.7048628289.

The spelling of 829801896 in words is "eight hundred twenty-nine million, eight hundred one thousand, eight hundred ninety-six".