765160 has 64 divisors (see below), whose sum is σ = 1969920. Its totient is φ = 264960.

The previous prime is 765151. The next prime is 765169. The reversal of 765160 is 61567.

It is an interprime number because it is at equal distance from previous prime (765151) and next prime (765169).

It is not an unprimeable number, because it can be changed into a prime (765169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16257 + ... + 16303.

It is an arithmetic number, because the mean of its divisors is an integer number (30780).

2⁷⁶⁵¹⁶⁰ 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 765160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984960).

765160 is an abundant number, since it is smaller than the sum of its proper divisors (1204760).

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

765160 is a wasteful number, since it uses less digits than its factorization.

765160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 765160 is about 874.7342453568. The cubic root of 765160 is about 91.4641184322.

The spelling of 765160 in words is "seven hundred sixty-five thousand, one hundred sixty".