80972500 has 90 divisors (see below), whose sum is σ = 206291778. Its totient is φ = 27720000.

The previous prime is 80972491. The next prime is 80972531. The reversal of 80972500 is 527908.

It can be written as a sum of positive squares in 5 ways, for example, as 19945156 + 61027344 = 4466^2 + 7812^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 122170 + ... + 122830.

Almost surely, 2^80972500 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 80972500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103145889).

80972500 is an abundant number, since it is smaller than the sum of its proper divisors (125319278).

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

80972500 is a wasteful number, since it uses less digits than its factorization.

80972500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 80972500 is about 8998.4720925277. The cubic root of 80972500 is about 432.6259002867.

The spelling of 80972500 in words is "eighty million, nine hundred seventy-two thousand, five hundred".