127977408 has 196 divisors, whose sum is σ = 411991048. Its totient is φ = 39191040.

The previous prime is 127977401. The next prime is 127977463. The reversal of 127977408 is 804779721.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127977401) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 606423 + ... + 606633.

Almost surely, 2^127977408 is an apocalyptic number.

127977408 is a gapful number since it is divisible by the number (18) 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 127977408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205995524).

127977408 is an abundant number, since it is smaller than the sum of its proper divisors (284013640).

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

127977408 is an equidigital number, since it uses as much as digits as its factorization.

127977408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 127977408 is about 11312.7100201499. The cubic root of 127977408 is about 503.9387680713.

It can be divided in two parts, 1279 and 77408, that added together give a palindrome (78687).

The spelling of 127977408 in words is "one hundred twenty-seven million, nine hundred seventy-seven thousand, four hundred eight".