972300180 has 48 divisors (see below), whose sum is σ = 2755255104. Its totient is φ = 256154880.

The previous prime is 972300179. The next prime is 972300187. The reversal of 972300180 is 81003279.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972300187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92641 + ... + 102600.

It is an arithmetic number, because the mean of its divisors is an integer number (57401148).

Almost surely, 2^972300180 is an apocalyptic number.

It is an amenable number.

972300180 is an abundant number, since it is smaller than the sum of its proper divisors (1782954924).

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

972300180 is a wasteful number, since it uses less digits than its factorization.

972300180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195336 (or 195334 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 972300180 is about 31181.7283036075. The cubic root of 972300180 is about 990.6801366545.

The spelling of 972300180 in words is "nine hundred seventy-two million, three hundred thousand, one hundred eighty".