180076029 has 32 divisors (see below), whose sum is σ = 282240000. Its totient is φ = 102079152.

The previous prime is 180076007. The next prime is 180076037. The reversal of 180076029 is 920670081.

It is not a de Polignac number, because 180076029 - 2⁹ = 180075517 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180072029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142402 + ... + 143660.

It is an arithmetic number, because the mean of its divisors is an integer number (8820000).

Almost surely, 2^180076029 is an apocalyptic number.

It is an amenable number.

180076029 is a deficient number, since it is larger than the sum of its proper divisors (102163971).

180076029 is a wasteful number, since it uses less digits than its factorization.

180076029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 180076029 is about 13419.2409994008. The cubic root of 180076029 is about 564.7011017256.

The spelling of 180076029 in words is "one hundred eighty million, seventy-six thousand, twenty-nine".