180290880 has 448 divisors, whose sum is σ = 795893760. Its totient is φ = 37324800.

The previous prime is 180290863. The next prime is 180290909. The reversal of 180290880 is 88092081.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×180290880² = 65009602822348800, which contains 22 as substring.

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665145 + ... + 665415.

Almost surely, 2^180290880 is an apocalyptic number.

180290880 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 180290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397946880).

180290880 is an abundant number, since it is smaller than the sum of its proper divisors (615602880).

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

180290880 is a wasteful number, since it uses less digits than its factorization.

180290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 180290880 is about 13427.2439465439. The cubic root of 180290880 is about 564.9255964885.

The spelling of 180290880 in words is "one hundred eighty million, two hundred ninety thousand, eight hundred eighty".