768386128 has 40 divisors (see below), whose sum is σ = 1594083240. Its totient is φ = 357519360.

The previous prime is 768386071. The next prime is 768386149. The reversal of 768386128 is 821683867.

It can be written as a sum of positive squares in 4 ways, for example, as 165585424 + 602800704 = 12868^2 + 24552^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8338 + ... + 40078.

It is an arithmetic number, because the mean of its divisors is an integer number (39852081).

Almost surely, 2^768386128 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 768386128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797041620).

768386128 is an abundant number, since it is smaller than the sum of its proper divisors (825697112).

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

768386128 is a wasteful number, since it uses less digits than its factorization.

768386128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31855 (or 31849 counting only the distinct ones).

The product of its digits is 774144, while the sum is 49.

The square root of 768386128 is about 27719.7786426948. The cubic root of 768386128 is about 915.9248427113.

The spelling of 768386128 in words is "seven hundred sixty-eight million, three hundred eighty-six thousand, one hundred twenty-eight".