180737280 has 216 divisors, whose sum is σ = 648091080. Its totient is φ = 46448640.

The previous prime is 180737279. The next prime is 180737351. The reversal of 180737280 is 82737081.

It can be written as a sum of positive squares in 4 ways, for example, as 14017536 + 166719744 = 3744^2 + 12912^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333810 + ... + 334350.

Almost surely, 2^180737280 is an apocalyptic number.

180737280 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 180737280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324045540).

180737280 is an abundant number, since it is smaller than the sum of its proper divisors (467353800).

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

180737280 is a wasteful number, since it uses less digits than its factorization.

180737280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 180737280 is about 13443.8565895356. The cubic root of 180737280 is about 565.3914639011.

It can be divided in two parts, 180 and 737280, that multiplied together give a square (132710400 = 11520²).

The spelling of 180737280 in words is "one hundred eighty million, seven hundred thirty-seven thousand, two hundred eighty".