127768000 has 56 divisors (see below), whose sum is σ = 316437264. Its totient is φ = 51104000.

The previous prime is 127767953. The next prime is 127768021. The reversal of 127768000 is 867721.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15 + ... + 15985.

Almost surely, 2^127768000 is an apocalyptic number.

127768000 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 127768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158218632).

127768000 is an abundant number, since it is smaller than the sum of its proper divisors (188669264).

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

127768000 is an equidigital number, since it uses as much as digits as its factorization.

127768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15998 (or 15978 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 127768000 is about 11303.4508005299. The cubic root of 127768000 is about 503.6637548949.

The spelling of 127768000 in words is "one hundred twenty-seven million, seven hundred sixty-eight thousand".