765980089567 has 8 divisors (see below), whose sum is σ = 954988163712. Its totient is φ = 596867602200.

The previous prime is 765980089561. The next prime is 765980089577.

765980089567 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 765980089567 - 2⁷ = 765980089439 is a prime.

It is a super-2 number, since 2×765980089567² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 765980089496 and 765980089505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765980089561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4973896609 + ... + 4973896762.

It is an arithmetic number, because the mean of its divisors is an integer number (119373520464).

Almost surely, 2^765980089567 is an apocalyptic number.

765980089567 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

765980089567 is a deficient number, since it is larger than the sum of its proper divisors (189008074145).

765980089567 is a wasteful number, since it uses less digits than its factorization.

765980089567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9947793389.

The product of its (nonzero) digits is 228614400, while the sum is 70.

The spelling of 765980089567 in words is "seven hundred sixty-five billion, nine hundred eighty million, eighty-nine thousand, five hundred sixty-seven".