127976400 has 180 divisors, whose sum is σ = 467737920. Its totient is φ = 32313600.

The previous prime is 127976383. The next prime is 127976411. The reversal of 127976400 is 4679721.

It is a happy number.

127976400 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 7 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67465 + ... + 69335.

It is an arithmetic number, because the mean of its divisors is an integer number (2598544).

Almost surely, 2^127976400 is an apocalyptic number.

127976400 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 127976400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233868960).

127976400 is an abundant number, since it is smaller than the sum of its proper divisors (339761520).

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

127976400 is a wasteful number, since it uses less digits than its factorization.

127976400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 127976400 is about 11312.6654684031. The cubic root of 127976400 is about 503.9374449951.

The spelling of 127976400 in words is "one hundred twenty-seven million, nine hundred seventy-six thousand, four hundred".