127077776 has 90 divisors (see below), whose sum is σ = 302952150. Its totient is φ = 51480576.

The previous prime is 127077767. The next prime is 127077781. The reversal of 127077776 is 677770721.

It can be written as a sum of positive squares in only one way, i.e., 113209600 + 13868176 = 10640^2 + 3724^2 .

It is a super-4 number, since 4×127077776⁴ (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 282800 + ... + 283248.

It is an arithmetic number, because the mean of its divisors is an integer number (3366135).

Almost surely, 2^127077776 is an apocalyptic number.

127077776 is a gapful number since it is divisible by the number (16) 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 127077776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151476075).

127077776 is an abundant number, since it is smaller than the sum of its proper divisors (175874374).

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

127077776 is a wasteful number, since it uses less digits than its factorization.

127077776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 201684, while the sum is 44.

The square root of 127077776 is about 11272.8778934219. The cubic root of 127077776 is about 502.7551583198.

The spelling of 127077776 in words is "one hundred twenty-seven million, seventy-seven thousand, seven hundred seventy-six".