829045788 has 12 divisors (see below), whose sum is σ = 1934440200. Its totient is φ = 276348592.

The previous prime is 829045727. The next prime is 829045799. The reversal of 829045788 is 887540928.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 829045788.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34543563 + ... + 34543586.

It is an arithmetic number, because the mean of its divisors is an integer number (161203350).

Almost surely, 2^829045788 is an apocalyptic number.

It is an amenable number.

829045788 is an abundant number, since it is smaller than the sum of its proper divisors (1105394412).

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

829045788 is a wasteful number, since it uses less digits than its factorization.

829045788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69087156 (or 69087154 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The square root of 829045788 is about 28793.1552282830. The cubic root of 829045788 is about 939.4193592314.

The spelling of 829045788 in words is "eight hundred twenty-nine million, forty-five thousand, seven hundred eighty-eight".