829788 has 12 divisors (see below), whose sum is σ = 1936200. Its totient is φ = 276592.

The previous prime is 829757. The next prime is 829789. The reversal of 829788 is 887928.

It is a happy number.

829788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829789) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34563 + ... + 34586.

It is an arithmetic number, because the mean of its divisors is an integer number (161350).

2⁸²⁹⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

829788 is an abundant number, since it is smaller than the sum of its proper divisors (1106412).

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

829788 is a wasteful number, since it uses less digits than its factorization.

829788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69156 (or 69154 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 829788 is about 910.9270003683. The cubic root of 829788 is about 93.9699617315.

It can be divided in two parts, 8297 and 88, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 829788 in words is "eight hundred twenty-nine thousand, seven hundred eighty-eight".