180402768 has 240 divisors, whose sum is σ = 642637440. Its totient is φ = 47443968.

The previous prime is 180402751. The next prime is 180402791. The reversal of 180402768 is 867204081.

180402768 is a `hidden beast` number, since 180 + 402 + 76 + 8 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510880 + ... + 511232.

It is an arithmetic number, because the mean of its divisors is an integer number (2677656).

Almost surely, 2^180402768 is an apocalyptic number.

180402768 is a gapful number since it is divisible by the number (18) 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 180402768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321318720).

180402768 is an abundant number, since it is smaller than the sum of its proper divisors (462234672).

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

180402768 is a wasteful number, since it uses less digits than its factorization.

180402768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 180402768 is about 13431.4097547502. The cubic root of 180402768 is about 565.0424360535.

The spelling of 180402768 in words is "one hundred eighty million, four hundred two thousand, seven hundred sixty-eight".