765056 has 32 divisors (see below), whose sum is σ = 1570800. Its totient is φ = 370944.

The previous prime is 765047. The next prime is 765059. The reversal of 765056 is 650567.

It is a tau number, because it is divible by the number of its divisors (32).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (765059) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5435 + ... + 5573.

2⁷⁶⁵⁰⁵⁶ 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 765056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785400).

765056 is an abundant number, since it is smaller than the sum of its proper divisors (805744).

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

765056 is a wasteful number, since it uses less digits than its factorization.

765056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 765056 is about 874.6747967102. The cubic root of 765056 is about 91.4599743319.

The spelling of 765056 in words is "seven hundred sixty-five thousand, fifty-six".