768258509928 has 256 divisors, whose sum is σ = 2396586769920. Its totient is φ = 199828242432.

The previous prime is 768258509897. The next prime is 768258509929. The reversal of 768258509928 is 829905852867.

It is a super-2 number, since 2×768258509928² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (768258509929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62065276 + ... + 62077652.

It is an arithmetic number, because the mean of its divisors is an integer number (9361667070).

Almost surely, 2^768258509928 is an apocalyptic number.

768258509928 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768258509928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198293384960).

768258509928 is an abundant number, since it is smaller than the sum of its proper divisors (1628328259992).

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

768258509928 is a wasteful number, since it uses less digits than its factorization.

768258509928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12796 (or 12792 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 69.

The spelling of 768258509928 in words is "seven hundred sixty-eight billion, two hundred fifty-eight million, five hundred nine thousand, nine hundred twenty-eight".