165807768 has 96 divisors (see below), whose sum is σ = 484887600. Its totient is φ = 47109888.

The previous prime is 165807751. The next prime is 165807769. The reversal of 165807768 is 867708561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165807769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325498 + ... + 326006.

Almost surely, 2^165807768 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 165807768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242443800).

165807768 is an abundant number, since it is smaller than the sum of its proper divisors (319079832).

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

165807768 is a wasteful number, since it uses less digits than its factorization.

165807768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 165807768 is about 12876.6365173519. The cubic root of 165807768 is about 549.3742392770.

The spelling of 165807768 in words is "one hundred sixty-five million, eight hundred seven thousand, seven hundred sixty-eight".