127760640 has 288 divisors, whose sum is σ = 480748800. Its totient is φ = 28901376.

The previous prime is 127760639. The next prime is 127760663. The reversal of 127760640 is 46067721.

It is a super-2 number, since 2×127760640² = 32645562266419200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 1317072 + ... + 1317168.

Almost surely, 2^127760640 is an apocalyptic number.

127760640 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 127760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240374400).

127760640 is an abundant number, since it is smaller than the sum of its proper divisors (352988160).

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

127760640 is an frugal number, since it uses more digits than its factorization.

127760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 127760640 is about 11303.1252315455. The cubic root of 127760640 is about 503.6540836250.

The spelling of 127760640 in words is "one hundred twenty-seven million, seven hundred sixty thousand, six hundred forty".