127973280 has 96 divisors (see below), whose sum is σ = 426855744. Its totient is φ = 32116736.

The previous prime is 127973249. The next prime is 127973309. The reversal of 127973280 is 82379721.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 319 + ... + 16001.

It is an arithmetic number, because the mean of its divisors is an integer number (4446414).

Almost surely, 2^127973280 is an apocalyptic number.

127973280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127973280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213427872).

127973280 is an abundant number, since it is smaller than the sum of its proper divisors (298882464).

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

127973280 is a wasteful number, since it uses less digits than its factorization.

127973280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15718 (or 15710 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 127973280 is about 11312.5275690272. The cubic root of 127973280 is about 503.9333497150.

The spelling of 127973280 in words is "one hundred twenty-seven million, nine hundred seventy-three thousand, two hundred eighty".