127977808 has 60 divisors (see below), whose sum is σ = 290070720. Its totient is φ = 54538176.

The previous prime is 127977791. The next prime is 127977859. The reversal of 127977808 is 808779721.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187035 + ... + 187717.

It is an arithmetic number, because the mean of its divisors is an integer number (4834512).

Almost surely, 2^127977808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127977808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145035360).

127977808 is an abundant number, since it is smaller than the sum of its proper divisors (162092912).

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

127977808 is a wasteful number, since it uses less digits than its factorization.

127977808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 49.

The square root of 127977808 is about 11312.7276993659. The cubic root of 127977808 is about 503.9392930997.

The spelling of 127977808 in words is "one hundred twenty-seven million, nine hundred seventy-seven thousand, eight hundred eight".