127057680 has 160 divisors (see below), whose sum is σ = 445507200. Its totient is φ = 33274368.

The previous prime is 127057663. The next prime is 127057691. The reversal of 127057680 is 86750721.

127057680 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 576 + 80 = 666.

It is a super-2 number, since 2×127057680² = 32287308093964800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126942 + ... + 127938.

It is an arithmetic number, because the mean of its divisors is an integer number (2784420).

Almost surely, 2^127057680 is an apocalyptic number.

127057680 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 127057680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222753600).

127057680 is an abundant number, since it is smaller than the sum of its proper divisors (318449520).

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

127057680 is a wasteful number, since it uses less digits than its factorization.

127057680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1066 counting only the distinct ones).

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

The square root of 127057680 is about 11271.9865152510. The cubic root of 127057680 is about 502.7286551272.

The spelling of 127057680 in words is "one hundred twenty-seven million, fifty-seven thousand, six hundred eighty".