865760 has 48 divisors (see below), whose sum is σ = 2340576. Its totient is φ = 296448.

The previous prime is 865757. The next prime is 865769. The reversal of 865760 is 67568.

865760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (865769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 734 + ... + 1506.

It is an arithmetic number, because the mean of its divisors is an integer number (48762).

2⁸⁶⁵⁷⁶⁰ is an apocalyptic number.

865760 is a gapful number since it is divisible by the number (80) 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 865760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170288).

865760 is an abundant number, since it is smaller than the sum of its proper divisors (1474816).

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

865760 is a wasteful number, since it uses less digits than its factorization.

865760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 787 counting only the distinct ones).

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

The square root of 865760 is about 930.4622507120. The cubic root of 865760 is about 95.3086911494.

The spelling of 865760 in words is "eight hundred sixty-five thousand, seven hundred sixty".