865085760 has 672 divisors, whose sum is σ = 3834335232. Its totient is φ = 173813760.

The previous prime is 865085719. The next prime is 865085761. The reversal of 865085760 is 67580568.

865085760 is a `hidden beast` number, since 86 + 508 + 5 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (865085761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10422679 + ... + 10422761.

It is an arithmetic number, because the mean of its divisors is an integer number (5705856).

Almost surely, 2^865085760 is an apocalyptic number.

865085760 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 865085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917167616).

865085760 is an abundant number, since it is smaller than the sum of its proper divisors (2969249472).

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

865085760 is a wasteful number, since it uses less digits than its factorization.

865085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 865085760 is about 29412.3402673096. The cubic root of 865085760 is about 952.8394309725.

The spelling of 865085760 in words is "eight hundred sixty-five million, eighty-five thousand, seven hundred sixty".