864333720 has 256 divisors, whose sum is σ = 3079296000. Its totient is φ = 214898688.

The previous prime is 864333689. The next prime is 864333733. The reversal of 864333720 is 27333468.

864333720 is a `hidden beast` number, since 8 + 643 + 3 + 3 + 7 + 2 + 0 = 666.

864333720 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3286309 + ... + 3286571.

It is an arithmetic number, because the mean of its divisors is an integer number (12028500).

Almost surely, 2^864333720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864333720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539648000).

864333720 is an abundant number, since it is smaller than the sum of its proper divisors (2214962280).

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

864333720 is a wasteful number, since it uses less digits than its factorization.

864333720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 864333720 is about 29399.5530578273. The cubic root of 864333720 is about 952.5632421274.

The spelling of 864333720 in words is "eight hundred sixty-four million, three hundred thirty-three thousand, seven hundred twenty".