165755760 has 80 divisors (see below), whose sum is σ = 530442240. Its totient is φ = 42773760.

The previous prime is 165755749. The next prime is 165755761. The reversal of 165755760 is 67557561.

165755760 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165755761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3700 + ... + 18579.

It is an arithmetic number, because the mean of its divisors is an integer number (6630528).

Almost surely, 2^165755760 is an apocalyptic number.

165755760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165755760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265221120).

165755760 is an abundant number, since it is smaller than the sum of its proper divisors (364686480).

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

165755760 is a wasteful number, since it uses less digits than its factorization.

165755760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22326 (or 22320 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 42.

The square root of 165755760 is about 12874.6168875039. The cubic root of 165755760 is about 549.3167935500.

The spelling of 165755760 in words is "one hundred sixty-five million, seven hundred fifty-five thousand, seven hundred sixty".