127873080 has 160 divisors (see below), whose sum is σ = 437516640. Its totient is φ = 33488640.

The previous prime is 127873079. The next prime is 127873087. The reversal of 127873080 is 80378721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127873087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 197317 + ... + 197963.

It is an arithmetic number, because the mean of its divisors is an integer number (2734479).

Almost surely, 2^127873080 is an apocalyptic number.

127873080 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 127873080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218758320).

127873080 is an abundant number, since it is smaller than the sum of its proper divisors (309643560).

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

127873080 is a wasteful number, since it uses less digits than its factorization.

127873080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 127873080 is about 11308.0979833038. The cubic root of 127873080 is about 503.8017928099.

The spelling of 127873080 in words is "one hundred twenty-seven million, eight hundred seventy-three thousand, eighty".