765348075146880 has 384 divisors, whose sum is σ = 2901944794956480. Its totient is φ = 192087359373312.

The previous prime is 765348075146827. The next prime is 765348075146899. The reversal of 765348075146880 is 88641570843567.

765348075146880 is a `hidden beast` number, since 7 + 6 + 5 + 3 + 4 + 80 + 7 + 5 + 1 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×765348075146880² (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 junction number, because it is equal to n+sod(n) for n = 765348075146799 and 765348075146808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142097914 + ... + 147385593.

Almost surely, 2^{765348075146880} is an apocalyptic number.

It is an amenable number.

765348075146880 is an abundant number, since it is smaller than the sum of its proper divisors (2136596719809600).

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

765348075146880 is a wasteful number, since it uses less digits than its factorization.

765348075146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289483558 (or 289483534 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 765348075146880 in words is "seven hundred sixty-five trillion, three hundred forty-eight billion, seventy-five million, one hundred forty-six thousand, eight hundred eighty".