810414720 has 288 divisors, whose sum is σ = 2921005620. Its totient is φ = 214990848.

The previous prime is 810414713. The next prime is 810414721. The reversal of 810414720 is 27414018.

It can be written as a sum of positive squares in 2 ways, for example, as 776402496 + 34012224 = 27864^2 + 5832^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (810414721) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4198944 + ... + 4199136.

Almost surely, 2^810414720 is an apocalyptic number.

810414720 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 810414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460502810).

810414720 is an abundant number, since it is smaller than the sum of its proper divisors (2110590900).

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

810414720 is an frugal number, since it uses more digits than its factorization.

810414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 810414720 is about 28467.7838968895. The cubic root of 810414720 is about 932.3288149468.

Adding to 810414720 its reverse (27414018), we get a palindrome (837828738).

The spelling of 810414720 in words is "eight hundred ten million, four hundred fourteen thousand, seven hundred twenty".