829609074 has 64 divisors (see below), whose sum is σ = 2110798080. Its totient is φ = 236597760.

The previous prime is 829609043. The next prime is 829609097. The reversal of 829609074 is 470906928.

It is a happy number.

829609074 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 245154 + ... + 248514.

It is an arithmetic number, because the mean of its divisors is an integer number (32981220).

Almost surely, 2^829609074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829609074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055399040).

829609074 is an abundant number, since it is smaller than the sum of its proper divisors (1281189006).

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

829609074 is a wasteful number, since it uses less digits than its factorization.

829609074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 829609074 is about 28802.9351629309. The cubic root of 829609074 is about 939.6320704317.

The spelling of 829609074 in words is "eight hundred twenty-nine million, six hundred nine thousand, seventy-four".