829754940 has 192 divisors, whose sum is σ = 2729825280. Its totient is φ = 184412160.

The previous prime is 829754929. The next prime is 829754941. The reversal of 829754940 is 49457928.

829754940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 829754940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829754941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3561064 + ... + 3561296.

It is an arithmetic number, because the mean of its divisors is an integer number (14217840).

Almost surely, 2^829754940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829754940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364912640).

829754940 is an abundant number, since it is smaller than the sum of its proper divisors (1900070340).

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

829754940 is a wasteful number, since it uses less digits than its factorization.

829754940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 829754940 is about 28805.4671894069. The cubic root of 829754940 is about 939.6871374682.

The spelling of 829754940 in words is "eight hundred twenty-nine million, seven hundred fifty-four thousand, nine hundred forty".