768957085260 has 864 divisors, whose sum is σ = 3151214539200. Its totient is φ = 149936209920.

The previous prime is 768957085229. The next prime is 768957085261. The reversal of 768957085260 is 62580759867.

768957085260 is a `hidden beast` number, since 7 + 6 + 8 + 9 + 570 + 8 + 52 + 6 + 0 = 666.

768957085260 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (768957085261) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 89315836 + ... + 89324444.

It is an arithmetic number, because the mean of its divisors is an integer number (3647239050).

Almost surely, 2^768957085260 is an apocalyptic number.

768957085260 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 768957085260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575607269600).

768957085260 is an abundant number, since it is smaller than the sum of its proper divisors (2382257453940).

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

768957085260 is a wasteful number, since it uses less digits than its factorization.

768957085260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8711 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 768957085260 in words is "seven hundred sixty-eight billion, nine hundred fifty-seven million, eighty-five thousand, two hundred sixty".