865453680 has 960 divisors, whose sum is σ = 4060990080. Its totient is φ = 167215104.

The previous prime is 865453679. The next prime is 865453703. The reversal of 865453680 is 86354568.

865453680 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23390622 + ... + 23390658.

It is an arithmetic number, because the mean of its divisors is an integer number (4230198).

Almost surely, 2^865453680 is an apocalyptic number.

865453680 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 865453680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030495040).

865453680 is an abundant number, since it is smaller than the sum of its proper divisors (3195536400).

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

865453680 is a wasteful number, since it uses less digits than its factorization.

865453680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 865453680 is about 29418.5941200459. The cubic root of 865453680 is about 952.9744923396.

The spelling of 865453680 in words is "eight hundred sixty-five million, four hundred fifty-three thousand, six hundred eighty".