127640800 has 144 divisors (see below), whose sum is σ = 371976192. Its totient is φ = 41817600.

The previous prime is 127640791. The next prime is 127640833. The reversal of 127640800 is 8046721.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128305 + ... + 129295.

It is an arithmetic number, because the mean of its divisors is an integer number (2583168).

Almost surely, 2^127640800 is an apocalyptic number.

127640800 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 127640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185988096).

127640800 is an abundant number, since it is smaller than the sum of its proper divisors (244335392).

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

127640800 is a wasteful number, since it uses less digits than its factorization.

127640800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 127640800 is about 11297.8227991060. The cubic root of 127640800 is about 503.4965578351.

The spelling of 127640800 in words is "one hundred twenty-seven million, six hundred forty thousand, eight hundred".