829900 has 36 divisors (see below), whose sum is σ = 1852312. Its totient is φ = 322560.

The previous prime is 829883. The next prime is 829949. The reversal of 829900 is 9928.

It is a happy number.

829900 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 11 ways as a sum of consecutive naturals, for example, 4204 + ... + 4396.

2⁸²⁹⁹⁰⁰ 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 829900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926156).

829900 is an abundant number, since it is smaller than the sum of its proper divisors (1022412).

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

829900 is a wasteful number, since it uses less digits than its factorization.

829900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 829900 is about 910.9884741313. The cubic root of 829900 is about 93.9741893825.

Adding to 829900 its sum of digits (28), we get a palindrome (829928).

The spelling of 829900 in words is "eight hundred twenty-nine thousand, nine hundred".