127270400 has 120 divisors (see below), whose sum is σ = 322457784. Its totient is φ = 49766400.

The previous prime is 127270399. The next prime is 127270439. The reversal of 127270400 is 4072721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 780719 + ... + 780881.

Almost surely, 2^127270400 is an apocalyptic number.

127270400 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 127270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161228892).

127270400 is an abundant number, since it is smaller than the sum of its proper divisors (195187384).

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

127270400 is an equidigital number, since it uses as much as digits as its factorization.

127270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 127270400 is about 11281.4183505444. The cubic root of 127270400 is about 503.0090548508.

The spelling of 127270400 in words is "one hundred twenty-seven million, two hundred seventy thousand, four hundred".