865006080 has 320 divisors, whose sum is σ = 2969809920. Its totient is φ = 214286336.

The previous prime is 865006063. The next prime is 865006147. The reversal of 865006080 is 80600568.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10421719 + ... + 10421801.

It is an arithmetic number, because the mean of its divisors is an integer number (9280656).

Almost surely, 2^865006080 is an apocalyptic number.

865006080 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 865006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484904960).

865006080 is an abundant number, since it is smaller than the sum of its proper divisors (2104803840).

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

865006080 is a wasteful number, since it uses less digits than its factorization.

865006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 865006080 is about 29410.9857026248. The cubic root of 865006080 is about 952.8101758472.

The spelling of 865006080 in words is "eight hundred sixty-five million, six thousand, eighty".