127405980 has 96 divisors (see below), whose sum is σ = 426888000. Its totient is φ = 31359744.

The previous prime is 127405931. The next prime is 127405981. The reversal of 127405980 is 89504721.

127405980 is a `hidden beast` number, since 1 + 27 + 40 + 598 + 0 = 666.

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 (127405981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2055 + ... + 16094.

It is an arithmetic number, because the mean of its divisors is an integer number (4446750).

Almost surely, 2^127405980 is an apocalyptic number.

127405980 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 127405980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213444000).

127405980 is an abundant number, since it is smaller than the sum of its proper divisors (299482020).

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

127405980 is a wasteful number, since it uses less digits than its factorization.

127405980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18180 (or 18172 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 127405980 is about 11287.4257472641. The cubic root of 127405980 is about 503.1876084530.

The spelling of 127405980 in words is "one hundred twenty-seven million, four hundred five thousand, nine hundred eighty".