180774720 has 448 divisors, whose sum is σ = 755904000. Its totient is φ = 40642560.

The previous prime is 180774703. The next prime is 180774731. The reversal of 180774720 is 27477081.

180774720 is a `hidden beast` number, since 180 + 7 + 7 + 472 + 0 = 666.

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

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2963490 + ... + 2963550.

Almost surely, 2^180774720 is an apocalyptic number.

180774720 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 180774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377952000).

180774720 is an abundant number, since it is smaller than the sum of its proper divisors (575129280).

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

180774720 is an equidigital number, since it uses as much as digits as its factorization.

180774720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 180774720 is about 13445.2489750097. The cubic root of 180774720 is about 565.4305017703.

The spelling of 180774720 in words is "one hundred eighty million, seven hundred seventy-four thousand, seven hundred twenty".