80972300 has 54 divisors (see below), whose sum is σ = 185527188. Its totient is φ = 30670560.

The previous prime is 80972291. The next prime is 80972303. The reversal of 80972300 is 327908.

It is not an unprimeable number, because it can be changed into a prime (80972303) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 34979 + ... + 37221.

Almost surely, 2^80972300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80972300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92763594).

80972300 is an abundant number, since it is smaller than the sum of its proper divisors (104554888).

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

80972300 is a wasteful number, since it uses less digits than its factorization.

80972300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 80972300 is about 8998.4609795231. The cubic root of 80972300 is about 432.6255440947.

The spelling of 80972300 in words is "eighty million, nine hundred seventy-two thousand, three hundred".