27799772 has 96 divisors (see below), whose sum is σ = 67060224. Its totient is φ = 9734400.

The previous prime is 27799769. The next prime is 27799781.

27799772 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 27799772.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212147 + ... + 212277.

It is an arithmetic number, because the mean of its divisors is an integer number (698544).

Almost surely, 2^27799772 is an apocalyptic number.

27799772 is a gapful number since it is divisible by the number (22) 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 27799772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33530112).

27799772 is an abundant number, since it is smaller than the sum of its proper divisors (39260452).

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

27799772 is a wasteful number, since it uses less digits than its factorization.

27799772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its digits is 777924, while the sum is 50.

The square root of 27799772 is about 5272.5489092089. The cubic root of 27799772 is about 302.9333433596.

The spelling of 27799772 in words is "twenty-seven million, seven hundred ninety-nine thousand, seven hundred seventy-two".