127705680 has 80 divisors (see below), whose sum is σ = 439882560. Its totient is φ = 34054272.

The previous prime is 127705667. The next prime is 127705687. The reversal of 127705680 is 86507721.

127705680 is a `hidden beast` number, since 1 + 27 + 70 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127705687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27402 + ... + 31721.

It is an arithmetic number, because the mean of its divisors is an integer number (5498532).

Almost surely, 2^127705680 is an apocalyptic number.

127705680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127705680 is an abundant number, since it is smaller than the sum of its proper divisors (312176880).

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

127705680 is a wasteful number, since it uses less digits than its factorization.

127705680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59145 (or 59133 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 127705680 is about 11300.6937840117. The cubic root of 127705680 is about 503.5818527235.

The spelling of 127705680 in words is "one hundred twenty-seven million, seven hundred five thousand, six hundred eighty".