27776385 has 192 divisors, whose sum is σ = 68947200. Its totient is φ = 10450944.

The previous prime is 27776383. The next prime is 27776429. The reversal of 27776385 is 58367772.

27776385 is a `hidden beast` number, since 2 + 7 + 7 + 7 + 638 + 5 = 666.

It is not a de Polignac number, because 27776385 - 2¹ = 27776383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 27776385.

It is not an unprimeable number, because it can be changed into a prime (27776383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1461906 + ... + 1461924.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 2^27776385 is an apocalyptic number.

It is an amenable number.

27776385 is an abundant number, since it is smaller than the sum of its proper divisors (41170815).

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

27776385 is a wasteful number, since it uses less digits than its factorization.

27776385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 64 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 27776385 is about 5270.3306347894. The cubic root of 27776385 is about 302.8483703637.

The spelling of 27776385 in words is "twenty-seven million, seven hundred seventy-six thousand, three hundred eighty-five".