127964800 has 48 divisors (see below), whose sum is σ = 316120950. Its totient is φ = 51184640.

The previous prime is 127964789. The next prime is 127964803. The reversal of 127964800 is 8469721.

It can be written as a sum of positive squares in 3 ways, for example, as 71774784 + 56190016 = 8472^2 + 7496^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 127964800.

It is not an unprimeable number, because it can be changed into a prime (127964803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16795 + ... + 23194.

Almost surely, 2^127964800 is an apocalyptic number.

127964800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127964800 is an abundant number, since it is smaller than the sum of its proper divisors (188156150).

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

127964800 is an equidigital number, since it uses as much as digits as its factorization.

127964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40013 (or 39996 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 127964800 is about 11312.1527571015. The cubic root of 127964800 is about 503.9222186174.

The spelling of 127964800 in words is "one hundred twenty-seven million, nine hundred sixty-four thousand, eight hundred".