864760320 has 160 divisors (see below), whose sum is σ = 3071946240. Its totient is φ = 230584320.

The previous prime is 864760313. The next prime is 864760361. The reversal of 864760320 is 23067468.

864760320 is a `hidden beast` number, since 8 + 6 + 47 + 603 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×864760320² = 1495620822093004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62865 + ... + 75375.

It is an arithmetic number, because the mean of its divisors is an integer number (19199664).

Almost surely, 2^864760320 is an apocalyptic number.

864760320 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 864760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535973120).

864760320 is an abundant number, since it is smaller than the sum of its proper divisors (2207185920).

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

864760320 is a wasteful number, since it uses less digits than its factorization.

864760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12543 (or 12521 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 864760320 is about 29406.8073751640. The cubic root of 864760320 is about 952.7199318539.

The spelling of 864760320 in words is "eight hundred sixty-four million, seven hundred sixty thousand, three hundred twenty".