165800880 has 240 divisors, whose sum is σ = 647172864. Its totient is φ = 37255680.

The previous prime is 165800863. The next prime is 165800891. The reversal of 165800880 is 88008561.

165800880 is digitally balanced in base 3, because in such base 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 (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337435 + ... + 337925.

Almost surely, 2^165800880 is an apocalyptic number.

165800880 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 165800880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323586432).

165800880 is an abundant number, since it is smaller than the sum of its proper divisors (481371984).

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

165800880 is a wasteful number, since it uses less digits than its factorization.

165800880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 165800880 is about 12876.3690534250. The cubic root of 165800880 is about 549.3666317883.

The spelling of 165800880 in words is "one hundred sixty-five million, eight hundred thousand, eight hundred eighty".