829324804 has 135 divisors (see below), whose sum is σ = 1972749765. Its totient is φ = 304106880.

The previous prime is 829324781. The next prime is 829324813. The reversal of 829324804 is 408423928.

The square root of 829324804 is 28798.

It is a perfect power (a square), and thus also a powerful number.

829324804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 645668100 + 183656704 = 25410^2 + 13552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 48783804 + ... + 48783820.

Almost surely, 2^829324804 is an apocalyptic number.

829324804 is the 28798-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829324804

829324804 is an abundant number, since it is smaller than the sum of its proper divisors (1143424961).

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

829324804 is a wasteful number, since it uses less digits than its factorization.

829324804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The cubic root of 829324804 is about 939.5247348477.

The spelling of 829324804 in words is "eight hundred twenty-nine million, three hundred twenty-four thousand, eight hundred four".