846509768 has 32 divisors (see below), whose sum is σ = 1768246200. Its totient is φ = 377223168.

The previous prime is 846509761. The next prime is 846509789. The reversal of 846509768 is 867905648.

846509768 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 4 ways, for example, as 483912004 + 362597764 = 21998^2 + 19042^2 .

It is not an unprimeable number, because it can be changed into a prime (846509761) 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, 137321 + ... + 143352.

Almost surely, 2^846509768 is an apocalyptic number.

It is an amenable number.

846509768 is an abundant number, since it is smaller than the sum of its proper divisors (921736432).

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

846509768 is a wasteful number, since it uses less digits than its factorization.

846509768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280721 (or 280717 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The square root of 846509768 is about 29094.8409172485. The cubic root of 846509768 is about 945.9699150279.

The spelling of 846509768 in words is "eight hundred forty-six million, five hundred nine thousand, seven hundred sixty-eight".