180442080 has 672 divisors, whose sum is σ = 832918464. Its totient is φ = 35831808.

The previous prime is 180442049. The next prime is 180442099. The reversal of 180442080 is 80244081.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10614232 + ... + 10614248.

It is an arithmetic number, because the mean of its divisors is an integer number (1239462).

Almost surely, 2^180442080 is an apocalyptic number.

180442080 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 180442080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416459232).

180442080 is an abundant number, since it is smaller than the sum of its proper divisors (652476384).

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

180442080 is a wasteful number, since it uses less digits than its factorization.

180442080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 180442080 is about 13432.8731103960. The cubic root of 180442080 is about 565.0834763235.

The spelling of 180442080 in words is "one hundred eighty million, four hundred forty-two thousand, eighty".