180053280 has 288 divisors, whose sum is σ = 696765888. Its totient is φ = 43545600.

The previous prime is 180053227. The next prime is 180053281. The reversal of 180053280 is 82350081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (180053281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427470 + ... + 427890.

It is an arithmetic number, because the mean of its divisors is an integer number (2419326).

Almost surely, 2^180053280 is an apocalyptic number.

180053280 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 180053280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348382944).

180053280 is an abundant number, since it is smaller than the sum of its proper divisors (516712608).

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

180053280 is a wasteful number, since it uses less digits than its factorization.

180053280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 180053280 is about 13418.3933464480. The cubic root of 180053280 is about 564.6773211658.

The spelling of 180053280 in words is "one hundred eighty million, fifty-three thousand, two hundred eighty".