165765600 has 864 divisors, whose sum is σ = 818947584. Its totient is φ = 30412800.

The previous prime is 165765539. The next prime is 165765631. The reversal of 165765600 is 6567561.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7207189 + ... + 7207211.

It is an arithmetic number, because the mean of its divisors is an integer number (947856).

Almost surely, 2^165765600 is an apocalyptic number.

165765600 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 165765600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409473792).

165765600 is an abundant number, since it is smaller than the sum of its proper divisors (653181984).

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

165765600 is a wasteful number, since it uses less digits than its factorization.

165765600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 165765600 is about 12874.9990291262. Note that the first 3 decimals coincide. The cubic root of 165765600 is about 549.3276632986.

The spelling of 165765600 in words is "one hundred sixty-five million, seven hundred sixty-five thousand, six hundred".