127701680 has 40 divisors (see below), whose sum is σ = 298654992. Its totient is φ = 50779904.

The previous prime is 127701677. The next prime is 127701713. The reversal of 127701680 is 86107721.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 9227 + ... + 18453.

Almost surely, 2^127701680 is an apocalyptic number.

127701680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127701680 is the 9227-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127701680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149327496).

127701680 is an abundant number, since it is smaller than the sum of its proper divisors (170953312).

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

127701680 is a wasteful number, since it uses less digits than its factorization.

127701680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9413 (or 9407 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 127701680 is about 11300.5168023414. The cubic root of 127701680 is about 503.5765949348.

The spelling of 127701680 in words is "one hundred twenty-seven million, seven hundred one thousand, six hundred eighty".