812800000 has 144 divisors (see below), whose sum is σ = 2047368960. Its totient is φ = 322560000.

The previous prime is 812799991. The next prime is 812800003. The reversal of 812800000 is 8218.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812800003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6399937 + ... + 6400063.

It is an arithmetic number, because the mean of its divisors is an integer number (14217840).

Almost surely, 2^812800000 is an apocalyptic number.

812800000 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 812800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023684480).

812800000 is an abundant number, since it is smaller than the sum of its proper divisors (1234568960).

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

812800000 is an frugal number, since it uses more digits than its factorization.

812800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 812800000 is about 28509.6474899287. The cubic root of 812800000 is about 933.2426215694.

Adding to 812800000 its reverse (8218), we get a palindrome (812808218).

It can be divided in two parts, 8 and 12800000, that multiplied together give a 5-th power (102400000 = 40⁵).

The spelling of 812800000 in words is "eight hundred twelve million, eight hundred thousand".