127776 has 48 divisors (see below), whose sum is σ = 368928. Its totient is φ = 38720.

The previous prime is 127763. The next prime is 127781. The reversal of 127776 is 677721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a plaindrome in base 14.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 127776.

It is an unprimeable number.

127776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11611 + ... + 11621.

It is an arithmetic number, because the mean of its divisors is an integer number (7686).

2¹²⁷⁷⁷⁶ is an apocalyptic number.

127776 is a gapful number since it is divisible by the number (16) 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 127776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184464).

127776 is an abundant number, since it is smaller than the sum of its proper divisors (241152).

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

127776 is an equidigital number, since it uses as much as digits as its factorization.

127776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 16 counting only the distinct ones).

The product of its digits is 4116, while the sum is 30.

The square root of 127776 is about 357.4576898040. The cubic root of 127776 is about 50.3674266723.

Subtracting 127776 from its reverse (677721), we obtain a palindrome (549945).

It can be divided in two parts, 127 and 776, that added together give a triangular number (903 = T₄₂).

The spelling of 127776 in words is "one hundred twenty-seven thousand, seven hundred seventy-six".