27779976 has 128 divisors (see below), whose sum is σ = 92928000. Its totient is φ = 7511616.

The previous prime is 27779971. The next prime is 27779987. The reversal of 27779976 is 67997772.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (27779971) 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 31 ways as a sum of consecutive naturals, for example, 28245 + ... + 29211.

It is an arithmetic number, because the mean of its divisors is an integer number (726000).

Almost surely, 2^27779976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27779976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46464000).

27779976 is an abundant number, since it is smaller than the sum of its proper divisors (65148024).

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

27779976 is a wasteful number, since it uses less digits than its factorization.

27779976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 998 counting only the distinct ones).

The product of its digits is 2333772, while the sum is 54.

The square root of 27779976 is about 5270.6713044924. The cubic root of 27779976 is about 302.8614207977.

The spelling of 27779976 in words is "twenty-seven million, seven hundred seventy-nine thousand, nine hundred seventy-six".