127788900 has 72 divisors (see below), whose sum is σ = 375850944. Its totient is φ = 33513600.

The previous prime is 127788887. The next prime is 127788917. The reversal of 127788900 is 9887721.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14809 + ... + 21791.

It is an arithmetic number, because the mean of its divisors is an integer number (5220152).

Almost surely, 2^127788900 is an apocalyptic number.

127788900 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 127788900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187925472).

127788900 is an abundant number, since it is smaller than the sum of its proper divisors (248062044).

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

127788900 is a wasteful number, since it uses less digits than its factorization.

127788900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7061 (or 7054 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 127788900 is about 11304.3752591640. The cubic root of 127788900 is about 503.6912161229.

The spelling of 127788900 in words is "one hundred twenty-seven million, seven hundred eighty-eight thousand, nine hundred".