127680784 has 80 divisors (see below), whose sum is σ = 316872576. Its totient is φ = 48384000.

The previous prime is 127680767. The next prime is 127680793. The reversal of 127680784 is 487086721.

It is a self number, because there is not a number n which added to its sum of digits gives 127680784.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44184 + ... + 46984.

Almost surely, 2^127680784 is an apocalyptic number.

127680784 is a gapful number since it is divisible by the number (14) 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 127680784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158436288).

127680784 is an abundant number, since it is smaller than the sum of its proper divisors (189191792).

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

127680784 is a wasteful number, since it uses less digits than its factorization.

127680784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 43.

The square root of 127680784 is about 11299.5922050311. The cubic root of 127680784 is about 503.5491264616.

The spelling of 127680784 in words is "one hundred twenty-seven million, six hundred eighty thousand, seven hundred eighty-four".