814144000 has 80 divisors (see below), whose sum is σ = 2030278536. Its totient is φ = 325632000.

The previous prime is 814143947. The next prime is 814144013. The reversal of 814144000 is 441418.

It can be written as a sum of positive squares in 4 ways, for example, as 408363264 + 405780736 = 20208^2 + 20144^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57640 + ... + 70360.

Almost surely, 2^814144000 is an apocalyptic number.

814144000 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 814144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015139268).

814144000 is an abundant number, since it is smaller than the sum of its proper divisors (1216134536).

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

814144000 is an equidigital number, since it uses as much as digits as its factorization.

814144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12754 (or 12728 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 814144000 is about 28533.2087224693. The cubic root of 814144000 is about 933.7567240068.

Adding to 814144000 its reverse (441418), we get a palindrome (814585418).

The spelling of 814144000 in words is "eight hundred fourteen million, one hundred forty-four thousand".