864758880 has 288 divisors, whose sum is σ = 3074355648. Its totient is φ = 221184000.

The previous prime is 864758861. The next prime is 864758887. The reversal of 864758880 is 88857468.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864758887) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5726805 + ... + 5726955.

It is an arithmetic number, because the mean of its divisors is an integer number (10674846).

Almost surely, 2^864758880 is an apocalyptic number.

864758880 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 864758880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537177824).

864758880 is an abundant number, since it is smaller than the sum of its proper divisors (2209596768).

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

864758880 is a wasteful number, since it uses less digits than its factorization.

864758880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 864758880 is about 29406.7828910270. The cubic root of 864758880 is about 952.7194030301.

The spelling of 864758880 in words is "eight hundred sixty-four million, seven hundred fifty-eight thousand, eight hundred eighty".