768842357760 has 616 divisors, whose sum is σ = 2860971045120. Its totient is φ = 197926944768.

The previous prime is 768842357747. The next prime is 768842357761. The reversal of 768842357760 is 67753248867.

768842357760 is a `hidden beast` number, since 7 + 6 + 88 + 423 + 5 + 77 + 60 = 666.

It is a super-2 number, since 2×768842357760² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768842357761) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 108238369 + ... + 108245471.

Almost surely, 2^768842357760 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 768842357760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430485522560).

768842357760 is an abundant number, since it is smaller than the sum of its proper divisors (2092128687360).

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

768842357760 is an equidigital number, since it uses as much as digits as its factorization.

768842357760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7175 (or 7142 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 768842357760 in words is "seven hundred sixty-eight billion, eight hundred forty-two million, three hundred fifty-seven thousand, seven hundred sixty".