765680 has 40 divisors (see below), whose sum is σ = 1888272. Its totient is φ = 287744.

The previous prime is 765673. The next prime is 765707. The reversal of 765680 is 86567.

765680 = T₁₉₅ + T₁₉₆ + ... + T₂₂₈.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1079 + ... + 1641.

2⁷⁶⁵⁶⁸⁰ 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 765680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944136).

765680 is an abundant number, since it is smaller than the sum of its proper divisors (1122592).

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

765680 is a wasteful number, since it uses less digits than its factorization.

765680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 765680 is about 875.0314280070. The cubic root of 765680 is about 91.4848333029.

The spelling of 765680 in words is "seven hundred sixty-five thousand, six hundred eighty".