127975680 has 432 divisors, whose sum is σ = 542559360. Its totient is φ = 27979776.

The previous prime is 127975669. The next prime is 127975693. The reversal of 127975680 is 86579721.

127975680 = 163² + 164² + ... + 729².

127975680 is a `hidden beast` number, since 12 + 79 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5564149 + ... + 5564171.

Almost surely, 2^127975680 is an apocalyptic number.

127975680 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 127975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271279680).

127975680 is an abundant number, since it is smaller than the sum of its proper divisors (414583680).

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

127975680 is an equidigital number, since it uses as much as digits as its factorization.

127975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 127975680 is about 11312.6336456194. The cubic root of 127975680 is about 503.9364999363.

The spelling of 127975680 in words is "one hundred twenty-seven million, nine hundred seventy-five thousand, six hundred eighty".