864997200 has 180 divisors, whose sum is σ = 3017259388. Its totient is φ = 229478400.

The previous prime is 864997183. The next prime is 864997219. The reversal of 864997200 is 2799468.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 31404816 + 833592384 = 5604^2 + 28872^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 867102 + ... + 868098.

Almost surely, 2^864997200 is an apocalyptic number.

864997200 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 864997200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508629694).

864997200 is an abundant number, since it is smaller than the sum of its proper divisors (2152262188).

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

864997200 is a wasteful number, since it uses less digits than its factorization.

864997200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 864997200 is about 29410.8347382389. The cubic root of 864997200 is about 952.8069153755.

The spelling of 864997200 in words is "eight hundred sixty-four million, nine hundred ninety-seven thousand, two hundred".