10765768 has 32 divisors (see below), whose sum is σ = 22107960. Its totient is φ = 4884480.

The previous prime is 10765763. The next prime is 10765793. The reversal of 10765768 is 86756701.

It can be written as a sum of positive squares in 4 ways, for example, as 7387524 + 3378244 = 2718^2 + 1838^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10765768.

It is not an unprimeable number, because it can be changed into a prime (10765763) 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, 5496 + ... + 7192.

Almost surely, 2^10765768 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 10765768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11053980).

10765768 is an abundant number, since it is smaller than the sum of its proper divisors (11342192).

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

10765768 is a wasteful number, since it uses less digits than its factorization.

10765768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 10765768 is about 3281.1229784938. The cubic root of 10765768 is about 220.8081024297.

The spelling of 10765768 in words is "ten million, seven hundred sixty-five thousand, seven hundred sixty-eight".