305378768 has 40 divisors (see below), whose sum is σ = 613341696. Its totient is φ = 147139200.

The previous prime is 305378761. The next prime is 305378779. The reversal of 305378768 is 867873503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305378761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129278 + ... + 131618.

Almost surely, 2^305378768 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 305378768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306670848).

305378768 is an abundant number, since it is smaller than the sum of its proper divisors (307962928).

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

305378768 is a wasteful number, since it uses less digits than its factorization.

305378768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The square root of 305378768 is about 17475.0899282379. The cubic root of 305378768 is about 673.4100800233.

The spelling of 305378768 in words is "three hundred five million, three hundred seventy-eight thousand, seven hundred sixty-eight".