765166304560 has 160 divisors (see below), whose sum is σ = 2042354995200. Its totient is φ = 261157693440.

The previous prime is 765166304509. The next prime is 765166304561. The reversal of 765166304560 is 65403661567.

It is not an unprimeable number, because it can be changed into a prime (765166304561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245322681 + ... + 245325799.

It is an arithmetic number, because the mean of its divisors is an integer number (12764718720).

Almost surely, 2^765166304560 is an apocalyptic number.

765166304560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 765166304560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021177497600).

765166304560 is an abundant number, since it is smaller than the sum of its proper divisors (1277188690640).

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

765166304560 is a wasteful number, since it uses less digits than its factorization.

765166304560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4979 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

The spelling of 765166304560 in words is "seven hundred sixty-five billion, one hundred sixty-six million, three hundred four thousand, five hundred sixty".