829105752 has 32 divisors (see below), whose sum is σ = 2074291200. Its totient is φ = 276165024.

The previous prime is 829105751. The next prime is 829105769. The reversal of 829105752 is 257501928.

It is a Smith number, since the sum of its digits (39) 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 829105752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829105751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22533 + ... + 46539.

It is an arithmetic number, because the mean of its divisors is an integer number (64821600).

Almost surely, 2^829105752 is an apocalyptic number.

It is an amenable number.

829105752 is an abundant number, since it is smaller than the sum of its proper divisors (1245185448).

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

829105752 is a wasteful number, since it uses less digits than its factorization.

829105752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25455 (or 25451 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 829105752 is about 28794.1964986002. The cubic root of 829105752 is about 939.4420077530.

The spelling of 829105752 in words is "eight hundred twenty-nine million, one hundred five thousand, seven hundred fifty-two".