810324000 has 480 divisors, whose sum is σ = 3096645552. Its totient is φ = 207360000.

The previous prime is 810323981. The next prime is 810324007. The reversal of 810324000 is 423018.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 125350416 + 684973584 = 11196^2 + 26172^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (810324007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13283970 + ... + 13284030.

Almost surely, 2^810324000 is an apocalyptic number.

810324000 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 810324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548322776).

810324000 is an abundant number, since it is smaller than the sum of its proper divisors (2286321552).

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

810324000 is a wasteful number, since it uses less digits than its factorization.

810324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 810324000 is about 28466.1904722076. The cubic root of 810324000 is about 932.2940245182.

Adding to 810324000 its reverse (423018), we get a palindrome (810747018).

It can be divided in two parts, 810 and 324000, that multiplied together give a square (262440000 = 16200²).

The spelling of 810324000 in words is "eight hundred ten million, three hundred twenty-four thousand".