829034772 has 24 divisors (see below), whose sum is σ = 1935526656. Its totient is φ = 276186048.

The previous prime is 829034761. The next prime is 829034777. The reversal of 829034772 is 277430928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829034777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2928 + ... + 40824.

It is an arithmetic number, because the mean of its divisors is an integer number (80646944).

Almost surely, 2^829034772 is an apocalyptic number.

It is an amenable number.

829034772 is an abundant number, since it is smaller than the sum of its proper divisors (1106491884).

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

829034772 is a wasteful number, since it uses less digits than its factorization.

829034772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39727 (or 39725 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 829034772 is about 28792.9639321832. The cubic root of 829034772 is about 939.4151983476.

The spelling of 829034772 in words is "eight hundred twenty-nine million, thirty-four thousand, seven hundred seventy-two".