27768277080 has 96 divisors (see below), whose sum is σ = 90330748560. Its totient is φ = 7397994240.

The previous prime is 27768277079. The next prime is 27768277109. The reversal of 27768277080 is 8077286772.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358195 + ... + 428765.

Almost surely, 2^27768277080 is an apocalyptic number.

27768277080 is a gapful number since it is divisible by the number (20) 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 27768277080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45165374280).

27768277080 is an abundant number, since it is smaller than the sum of its proper divisors (62562471480).

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

27768277080 is a wasteful number, since it uses less digits than its factorization.

27768277080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71681 (or 71674 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The spelling of 27768277080 in words is "twenty-seven billion, seven hundred sixty-eight million, two hundred seventy-seven thousand, eighty".