80257672 has 64 divisors (see below), whose sum is σ = 180403200. Its totient is φ = 33042240.

The previous prime is 80257643. The next prime is 80257711. The reversal of 80257672 is 27675208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37413 + ... + 39499.

It is an arithmetic number, because the mean of its divisors is an integer number (2818800).

Almost surely, 2^80257672 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 80257672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90201600).

80257672 is an abundant number, since it is smaller than the sum of its proper divisors (100145528).

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

80257672 is a wasteful number, since it uses less digits than its factorization.

80257672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 80257672 is about 8958.6646326336. The cubic root of 80257672 is about 431.3490567943.

It can be divided in two parts, 80 and 257672, that added together give a palindrome (257752).

The spelling of 80257672 in words is "eighty million, two hundred fifty-seven thousand, six hundred seventy-two".