832497768 has 72 divisors (see below), whose sum is σ = 2379668850. Its totient is φ = 262885824.

The previous prime is 832497707. The next prime is 832497773. The reversal of 832497768 is 867794238.

832497768 is a `hidden beast` number, since 83 + 2 + 497 + 76 + 8 = 666.

832497768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 831860964 + 636804 = 28842^2 + 798^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9978 + ... + 42006.

Almost surely, 2^832497768 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 832497768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189834425).

832497768 is an abundant number, since it is smaller than the sum of its proper divisors (1547171082).

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

832497768 is a wasteful number, since it uses less digits than its factorization.

832497768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32079 (or 32053 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 832497768 is about 28853.0374137629. The cubic root of 832497768 is about 940.7214048688.

The spelling of 832497768 in words is "eight hundred thirty-two million, four hundred ninety-seven thousand, seven hundred sixty-eight".