180763380 has 384 divisors, whose sum is σ = 711244800. Its totient is φ = 37158912.

The previous prime is 180763369. The next prime is 180763411. The reversal of 180763380 is 83367081.

180763380 is a `hidden beast` number, since 18 + 0 + 7 + 633 + 8 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 1863492 + ... + 1863588.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 2^180763380 is an apocalyptic number.

180763380 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 180763380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355622400).

180763380 is an abundant number, since it is smaller than the sum of its proper divisors (530481420).

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

180763380 is a wasteful number, since it uses less digits than its factorization.

180763380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 180763380 is about 13444.8272580945. The cubic root of 180763380 is about 565.4186783694.

180763380 divided by its sum of digits (36) gives a palindrome (5021205).

The spelling of 180763380 in words is "one hundred eighty million, seven hundred sixty-three thousand, three hundred eighty".