829204040 has 64 divisors (see below), whose sum is σ = 2189894400. Its totient is φ = 276611328.

The previous prime is 829204037. The next prime is 829204063. The reversal of 829204040 is 40402928.

It is a junction number, because it is equal to n+sod(n) for n = 829203994 and 829204012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29660 + ... + 50379.

It is an arithmetic number, because the mean of its divisors is an integer number (34217100).

Almost surely, 2^829204040 is an apocalyptic number.

It is an amenable number.

829204040 is an abundant number, since it is smaller than the sum of its proper divisors (1360690360).

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

829204040 is a wasteful number, since it uses less digits than its factorization.

829204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80094 (or 80090 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 829204040 is about 28795.9031808346. The cubic root of 829204040 is about 939.4791289636.

Adding to 829204040 its reverse (40402928), we get a palindrome (869606968).

The spelling of 829204040 in words is "eight hundred twenty-nine million, two hundred four thousand, forty".