765559955567 has 16 divisors (see below), whose sum is σ = 847032919200. Its totient is φ = 686076249600.

The previous prime is 765559955561. The next prime is 765559955569.

765559955567 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 765559955567 - 2⁴ = 765559955551 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 765559955494 and 765559955503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765559955561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1320467 + ... + 1809627.

It is an arithmetic number, because the mean of its divisors is an integer number (52939557450).

Almost surely, 2^765559955567 is an apocalyptic number.

765559955567 is a deficient number, since it is larger than the sum of its proper divisors (81472963633).

765559955567 is a wasteful number, since it uses less digits than its factorization.

765559955567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491194.

The product of its digits is 2232562500, while the sum is 74.

The spelling of 765559955567 in words is "seven hundred sixty-five billion, five hundred fifty-nine million, nine hundred fifty-five thousand, five hundred sixty-seven".