810042688 has 112 divisors (see below), whose sum is σ = 1992497920. Its totient is φ = 320067072.

The previous prime is 810042661. The next prime is 810042689. The reversal of 810042688 is 886240018.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810042689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 983845 + ... + 984667.

It is an arithmetic number, because the mean of its divisors is an integer number (17790160).

Almost surely, 2^810042688 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 810042688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996248960).

810042688 is an abundant number, since it is smaller than the sum of its proper divisors (1182455232).

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

810042688 is an equidigital number, since it uses as much as digits as its factorization.

810042688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 810042688 is about 28461.2488833501. The cubic root of 810042688 is about 932.1861269974.

The spelling of 810042688 in words is "eight hundred ten million, forty-two thousand, six hundred eighty-eight".