27777760920 has 960 divisors, whose sum is σ = 120064079520. Its totient is φ = 5706215424.

The previous prime is 27777760853. The next prime is 27777760921. The reversal of 27777760920 is 2906777772.

27777760920 is a `hidden beast` number, since 2 + 7 + 7 + 7 + 7 + 7 + 609 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27777760921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 88746684 + ... + 88746996.

Almost surely, 2^27777760920 is an apocalyptic number.

27777760920 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 27777760920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60032039760).

27777760920 is an abundant number, since it is smaller than the sum of its proper divisors (92286318600).

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

27777760920 is a wasteful number, since it uses less digits than its factorization.

27777760920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 3630312, while the sum is 54.

The spelling of 27777760920 in words is "twenty-seven billion, seven hundred seventy-seven million, seven hundred sixty thousand, nine hundred twenty".