768705792531840 has 192 divisors, whose sum is σ = 2654451725468400. Its totient is φ = 204987088834560.

The previous prime is 768705792531839. The next prime is 768705792531851. The reversal of 768705792531840 is 48135297507867.

768705792531840 is a `hidden beast` number, since 7 + 6 + 8 + 7 + 0 + 5 + 7 + 9 + 2 + 531 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×768705792531840² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2059422346 + ... + 2059795574.

It is a 1-persistent number, because it is pandigital, but 2⋅768705792531840 = 1537411585063680 is not.

Almost surely, 2^{768705792531840} is an apocalyptic number.

It is an amenable number.

768705792531840 is an abundant number, since it is smaller than the sum of its proper divisors (1885745932936560).

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

768705792531840 is a wasteful number, since it uses less digits than its factorization.

768705792531840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730825 (or 730810 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 768705792531840 in words is "seven hundred sixty-eight trillion, seven hundred five billion, seven hundred ninety-two million, five hundred thirty-one thousand, eight hundred forty".