80172180 has 180 divisors, whose sum is σ = 277121460. Its totient is φ = 19388160.

The previous prime is 80172143. The next prime is 80172203. The reversal of 80172180 is 8127108.

It can be written as a sum of positive squares in 2 ways, for example, as 53670276 + 26501904 = 7326^2 + 5148^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 59 ways as a sum of consecutive naturals, for example, 195816 + ... + 196224.

Almost surely, 2^80172180 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 80172180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138560730).

80172180 is an abundant number, since it is smaller than the sum of its proper divisors (196949280).

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

80172180 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (80172179) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (430).

80172180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 80172180 is about 8953.8918912393. The cubic root of 80172180 is about 431.1958419702.

Adding to 80172180 its reverse (8127108), we get a palindrome (88299288).

The spelling of 80172180 in words is "eighty million, one hundred seventy-two thousand, one hundred eighty".