768380928 has 104 divisors (see below), whose sum is σ = 2341708608. Its totient is φ = 219512832.

The previous prime is 768380923. The next prime is 768380933. The reversal of 768380928 is 829083867.

It is an interprime number because it is at equal distance from previous prime (768380923) and next prime (768380933).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768380923) 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, 81550 + ... + 90482.

Almost surely, 2^768380928 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 768380928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170854304).

768380928 is an abundant number, since it is smaller than the sum of its proper divisors (1573327680).

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

768380928 is an equidigital number, since it uses as much as digits as its factorization.

768380928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8967 (or 8945 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 768380928 is about 27719.6848466933. The cubic root of 768380928 is about 915.9227765540.

The spelling of 768380928 in words is "seven hundred sixty-eight million, three hundred eighty thousand, nine hundred twenty-eight".