165784080 has 160 divisors (see below), whose sum is σ = 640816128. Its totient is φ = 34444800.

The previous prime is 165784067. The next prime is 165784081. The reversal of 165784080 is 80487561.

It is a super-2 number, since 2×165784080² = 54968722362892800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (165784081) 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 31 ways as a sum of consecutive naturals, for example, 13995 + ... + 22965.

Almost surely, 2^165784080 is an apocalyptic number.

165784080 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 165784080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320408064).

165784080 is an abundant number, since it is smaller than the sum of its proper divisors (475032048).

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

165784080 is a wasteful number, since it uses less digits than its factorization.

165784080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9005 (or 8999 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 165784080 is about 12875.7166790824. The cubic root of 165784080 is about 549.3480760541.

The spelling of 165784080 in words is "one hundred sixty-five million, seven hundred eighty-four thousand, eighty".