829763568 has 80 divisors (see below), whose sum is σ = 2432463360. Its totient is φ = 270696384.

The previous prime is 829763527. The next prime is 829763579. The reversal of 829763568 is 865367928.

It is a happy number.

829763568 is a `hidden beast` number, since 8 + 2 + 9 + 76 + 3 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130 + ... + 40737.

It is an arithmetic number, because the mean of its divisors is an integer number (30405792).

Almost surely, 2^829763568 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 829763568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216231680).

829763568 is an abundant number, since it is smaller than the sum of its proper divisors (1602699792).

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

829763568 is a wasteful number, since it uses less digits than its factorization.

829763568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40931 (or 40919 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 829763568 is about 28805.6169522543. The cubic root of 829763568 is about 939.6903944911.

The spelling of 829763568 in words is "eight hundred twenty-nine million, seven hundred sixty-three thousand, five hundred sixty-eight".