180768000 has 288 divisors, whose sum is σ = 688746240. Its totient is φ = 41164800.

The previous prime is 180767963. The next prime is 180768013. The reversal of 180768000 is 867081.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671866 + ... + 672134.

It is an arithmetic number, because the mean of its divisors is an integer number (2391480).

Almost surely, 2^180768000 is an apocalyptic number.

180768000 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 180768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344373120).

180768000 is an abundant number, since it is smaller than the sum of its proper divisors (507978240).

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

180768000 is an equidigital number, since it uses as much as digits as its factorization.

180768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 180768000 is about 13444.9990702863. Note that the first 3 decimals coincide. The cubic root of 180768000 is about 565.4234953702.

It can be divided in two parts, 180 and 768000, that added together give a triangular number (768180 = T₁₂₃₉).

The spelling of 180768000 in words is "one hundred eighty million, seven hundred sixty-eight thousand".