127984800 has 72 divisors (see below), whose sum is σ = 416598336. Its totient is φ = 34128640.

The previous prime is 127984799. The next prime is 127984847. The reversal of 127984800 is 8489721.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24264 + ... + 29063.

It is an arithmetic number, because the mean of its divisors is an integer number (5786088).

Almost surely, 2^127984800 is an apocalyptic number.

127984800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127984800 is an abundant number, since it is smaller than the sum of its proper divisors (288613536).

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

127984800 is a wasteful number, since it uses less digits than its factorization.

127984800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53350 (or 53337 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 127984800 is about 11313.0367275988. The cubic root of 127984800 is about 503.9484704183.

The spelling of 127984800 in words is "one hundred twenty-seven million, nine hundred eighty-four thousand, eight hundred".