227787768 has 128 divisors (see below), whose sum is σ = 711244800. Its totient is φ = 67022208.

The previous prime is 227787767. The next prime is 227787787. The reversal of 227787768 is 867787722.

It is a happy number.

227787768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (227787761) 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, 62821 + ... + 66347.

It is an arithmetic number, because the mean of its divisors is an integer number (5556600).

Almost surely, 2^227787768 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 227787768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355622400).

227787768 is an abundant number, since it is smaller than the sum of its proper divisors (483457032).

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

227787768 is a wasteful number, since it uses less digits than its factorization.

227787768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 3568 counting only the distinct ones).

The product of its digits is 3687936, while the sum is 54.

The square root of 227787768 is about 15092.6395305791. The cubic root of 227787768 is about 610.7218615426.

The spelling of 227787768 in words is "two hundred twenty-seven million, seven hundred eighty-seven thousand, seven hundred sixty-eight".