180800352 has 216 divisors, whose sum is σ = 569159136. Its totient is φ = 54369792.

The previous prime is 180800351. The next prime is 180800353. The reversal of 180800352 is 253008081.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (180800351) and next prime (180800353).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180800351) 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 35 ways as a sum of consecutive naturals, for example, 3846793 + ... + 3846839.

It is an arithmetic number, because the mean of its divisors is an integer number (2634996).

Almost surely, 2^180800352 is an apocalyptic number.

180800352 is a gapful number since it is divisible by the number (12) 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 180800352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284579568).

180800352 is an abundant number, since it is smaller than the sum of its proper divisors (388358784).

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

180800352 is a wasteful number, since it uses less digits than its factorization.

180800352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 108 counting only the distinct ones).

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

The square root of 180800352 is about 13446.2021403815. The cubic root of 180800352 is about 565.4572245880.

The spelling of 180800352 in words is "one hundred eighty million, eight hundred thousand, three hundred fifty-two".