865807680 has 224 divisors, whose sum is σ = 2902671360. Its totient is φ = 218327040.

The previous prime is 865807669. The next prime is 865807697. The reversal of 865807680 is 86708568.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1398411 + ... + 1399029.

Almost surely, 2^865807680 is an apocalyptic number.

865807680 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 865807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451335680).

865807680 is an abundant number, since it is smaller than the sum of its proper divisors (2036863680).

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

865807680 is a wasteful number, since it uses less digits than its factorization.

865807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 865807680 is about 29424.6101078672. The cubic root of 865807680 is about 953.1044076246.

The spelling of 865807680 in words is "eight hundred sixty-five million, eight hundred seven thousand, six hundred eighty".