127764640 has 48 divisors (see below), whose sum is σ = 311592960. Its totient is φ = 49455360.

The previous prime is 127764601. The next prime is 127764643. The reversal of 127764640 is 46467721.

It is a self number, because there is not a number n which added to its sum of digits gives 127764640.

It is not an unprimeable number, because it can be changed into a prime (127764643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7920 + ... + 17839.

It is an arithmetic number, because the mean of its divisors is an integer number (6491520).

Almost surely, 2^127764640 is an apocalyptic number.

127764640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127764640 is an abundant number, since it is smaller than the sum of its proper divisors (183828320).

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

127764640 is a wasteful number, since it uses less digits than its factorization.

127764640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25805 (or 25797 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 127764640 is about 11303.3021723742. The cubic root of 127764640 is about 503.6593397960.

The spelling of 127764640 in words is "one hundred twenty-seven million, seven hundred sixty-four thousand, six hundred forty".