829027830 has 64 divisors (see below), whose sum is σ = 2037519360. Its totient is φ = 215783424.

The previous prime is 829027819. The next prime is 829027873. The reversal of 829027830 is 38720928.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 813061 + ... + 814079.

It is an arithmetic number, because the mean of its divisors is an integer number (31836240).

Almost surely, 2^829027830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829027830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018759680).

829027830 is an abundant number, since it is smaller than the sum of its proper divisors (1208491530).

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

829027830 is a wasteful number, since it uses less digits than its factorization.

829027830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653.

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 829027830 is about 28792.8433816461. The cubic root of 829027830 is about 939.4125762467.

The spelling of 829027830 in words is "eight hundred twenty-nine million, twenty-seven thousand, eight hundred thirty".