765441112128 has 448 divisors, whose sum is σ = 2601343641600. Its totient is φ = 192865075200.

The previous prime is 765441112031. The next prime is 765441112129. The reversal of 765441112128 is 821211144567.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×765441112128² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 765441112128.

It is not an unprimeable number, because it can be changed into a prime (765441112129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94717048 + ... + 94725128.

Almost surely, 2^765441112128 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 765441112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300671820800).

765441112128 is an abundant number, since it is smaller than the sum of its proper divisors (1835902529472).

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

765441112128 is a wasteful number, since it uses less digits than its factorization.

765441112128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8306 (or 8296 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The spelling of 765441112128 in words is "seven hundred sixty-five billion, four hundred forty-one million, one hundred twelve thousand, one hundred twenty-eight".