127540800 has 252 divisors, whose sum is σ = 480896676. Its totient is φ = 31948800.

The previous prime is 127540799. The next prime is 127540801. The reversal of 127540800 is 8045721.

It is an interprime number because it is at equal distance from previous prime (127540799) and next prime (127540801).

It can be written as a sum of positive squares in 6 ways, for example, as 1382976 + 126157824 = 1176^2 + 11232^2 .

It is not an unprimeable number, because it can be changed into a prime (127540801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244540 + ... + 245060.

Almost surely, 2^127540800 is an apocalyptic number.

127540800 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 127540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240448338).

127540800 is an abundant number, since it is smaller than the sum of its proper divisors (353355876).

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

127540800 is a wasteful number, since it uses less digits than its factorization.

127540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 127540800 is about 11293.3963004935. The cubic root of 127540800 is about 503.3650355990.

The spelling of 127540800 in words is "one hundred twenty-seven million, five hundred forty thousand, eight hundred".