765280081939968 has 1920 divisors, whose sum is σ = 2803700814520320. Its totient is φ = 196030884741120.

The previous prime is 765280081939943. The next prime is 765280081939991. The reversal of 765280081939968 is 869939180082567.

765280081939968 is a `hidden beast` number, since 7 + 6 + 5 + 280 + 0 + 8 + 193 + 99 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 355448248780 + ... + 355448250932.

It is an arithmetic number, because the mean of its divisors is an integer number (1460260840896).

Almost surely, 2^{765280081939968} 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 765280081939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401850407260160).

765280081939968 is an abundant number, since it is smaller than the sum of its proper divisors (2038420732580352).

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

765280081939968 is a wasteful number, since it uses less digits than its factorization.

765280081939968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 2821754880, while the sum is 81.

The spelling of 765280081939968 in words is "seven hundred sixty-five trillion, two hundred eighty billion, eighty-one million, nine hundred thirty-nine thousand, nine hundred sixty-eight".