27780312 has 128 divisors (see below), whose sum is σ = 85847040. Its totient is φ = 7311360.

The previous prime is 27780307. The next prime is 27780317. The reversal of 27780312 is 21308772.

It is an interprime number because it is at equal distance from previous prime (27780307) and next prime (27780317).

It is a self number, because there is not a number n which added to its sum of digits gives 27780312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27780317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202708 + ... + 202844.

It is an arithmetic number, because the mean of its divisors is an integer number (670680).

Almost surely, 2^27780312 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 27780312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42923520).

27780312 is an abundant number, since it is smaller than the sum of its proper divisors (58066728).

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

27780312 is a wasteful number, since it uses less digits than its factorization.

27780312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 27780312 is about 5270.7031788937. The cubic root of 27780312 is about 302.8626418334.

The spelling of 27780312 in words is "twenty-seven million, seven hundred eighty thousand, three hundred twelve".