127980760 has 48 divisors (see below), whose sum is σ = 305919360. Its totient is φ = 48176640.

The previous prime is 127980737. The next prime is 127980761. The reversal of 127980760 is 67089721.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127980761) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6025 + ... + 17095.

It is an arithmetic number, because the mean of its divisors is an integer number (6373320).

Almost surely, 2^127980760 is an apocalyptic number.

127980760 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 127980760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152959680).

127980760 is an abundant number, since it is smaller than the sum of its proper divisors (177938600).

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

127980760 is a wasteful number, since it uses less digits than its factorization.

127980760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11116 (or 11095 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 127980760 is about 11312.8581711255. The cubic root of 127980760 is about 503.9431677750.

The spelling of 127980760 in words is "one hundred twenty-seven million, nine hundred eighty thousand, seven hundred sixty".