768783355340 has 384 divisors, whose sum is σ = 2286062714880. Its totient is φ = 209149516800.

The previous prime is 768783355243. The next prime is 768783355421. The reversal of 768783355340 is 43553387867.

It is a self number, because there is not a number n which added to its sum of digits gives 768783355340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 240018179 + ... + 240021381.

It is an arithmetic number, because the mean of its divisors is an integer number (5953288320).

Almost surely, 2^768783355340 is an apocalyptic number.

768783355340 is a gapful number since it is divisible by the number (70) 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 768783355340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143031357440).

768783355340 is an abundant number, since it is smaller than the sum of its proper divisors (1517279359540).

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

768783355340 is a wasteful number, since it uses less digits than its factorization.

768783355340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 59.

The spelling of 768783355340 in words is "seven hundred sixty-eight billion, seven hundred eighty-three million, three hundred fifty-five thousand, three hundred forty".