864307200 has 288 divisors, whose sum is σ = 3034493280. Its totient is φ = 216268800.

The previous prime is 864307153. The next prime is 864307201. The reversal of 864307200 is 2703468.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (864307201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2611035 + ... + 2611365.

It is an arithmetic number, because the mean of its divisors is an integer number (10536435).

Almost surely, 2^864307200 is an apocalyptic number.

864307200 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 864307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517246640).

864307200 is an abundant number, since it is smaller than the sum of its proper divisors (2170186080).

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

864307200 is a wasteful number, since it uses less digits than its factorization.

864307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 864307200 is about 29399.1020271028. The cubic root of 864307200 is about 952.5534996576.

The spelling of 864307200 in words is "eight hundred sixty-four million, three hundred seven thousand, two hundred".