810710496 has 72 divisors (see below), whose sum is σ = 2343303144. Its totient is φ = 265800960.

The previous prime is 810710491. The next prime is 810710497. The reversal of 810710496 is 694017018.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 810710496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810710491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5506 + ... + 40641.

It is an arithmetic number, because the mean of its divisors is an integer number (32545877).

Almost surely, 2^810710496 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 810710496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171651572).

810710496 is an abundant number, since it is smaller than the sum of its proper divisors (1532592648).

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

810710496 is a wasteful number, since it uses less digits than its factorization.

810710496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46224 (or 46213 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 810710496 is about 28472.9783479003. The cubic root of 810710496 is about 932.4422247601.

The spelling of 810710496 in words is "eight hundred ten million, seven hundred ten thousand, four hundred ninety-six".