810272768 has 108 divisors (see below), whose sum is σ = 1768831155. Its totient is φ = 370999296.

The previous prime is 810272753. The next prime is 810272777. The reversal of 810272768 is 867272018.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 809288704 + 984064 = 28448^2 + 992^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=20128.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21899246 + ... + 21899282.

Almost surely, 2^810272768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810272768

810272768 is an abundant number, since it is smaller than the sum of its proper divisors (958558387).

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

810272768 is an equidigital number, since it uses as much as digits as its factorization.

810272768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The square root of 810272768 is about 28465.2905834457. The cubic root of 810272768 is about 932.2743762894.

The spelling of 810272768 in words is "eight hundred ten million, two hundred seventy-two thousand, seven hundred sixty-eight".