127727820 has 96 divisors (see below), whose sum is σ = 433520640. Its totient is φ = 30962880.

The previous prime is 127727813. The next prime is 127727849. The reversal of 127727820 is 28727721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4812 + ... + 16691.

It is an arithmetic number, because the mean of its divisors is an integer number (4515840).

Almost surely, 2^127727820 is an apocalyptic number.

127727820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127727820 is an abundant number, since it is smaller than the sum of its proper divisors (305792820).

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

127727820 is a wasteful number, since it uses less digits than its factorization.

127727820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21532 (or 21524 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 127727820 is about 11301.6733274325. The cubic root of 127727820 is about 503.6109525985.

Subtracting from 127727820 its reverse (28727721), we obtain a palindrome (99000099).

The spelling of 127727820 in words is "one hundred twenty-seven million, seven hundred twenty-seven thousand, eight hundred twenty".