765160368 has 160 divisors (see below), whose sum is σ = 2351516160. Its totient is φ = 209848320.

The previous prime is 765160367. The next prime is 765160391. The reversal of 765160368 is 863061567.

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

It is not an unprimeable number, because it can be changed into a prime (765160367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 922578 + ... + 923406.

It is an arithmetic number, because the mean of its divisors is an integer number (14696976).

Almost surely, 2^765160368 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 765160368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175758080).

765160368 is an abundant number, since it is smaller than the sum of its proper divisors (1586355792).

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

765160368 is a wasteful number, since it uses less digits than its factorization.

765160368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 765160368 is about 27661.5322785995. The cubic root of 765160368 is about 914.6413309524.

The spelling of 765160368 in words is "seven hundred sixty-five million, one hundred sixty thousand, three hundred sixty-eight".