810876072 has 64 divisors (see below), whose sum is σ = 2137147200. Its totient is φ = 255674880.

The previous prime is 810876061. The next prime is 810876089. The reversal of 810876072 is 270678018.

It is a self number, because there is not a number n which added to its sum of digits gives 810876072.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499422 + ... + 501042.

It is an arithmetic number, because the mean of its divisors is an integer number (33392925).

Almost surely, 2^810876072 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 810876072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068573600).

810876072 is an abundant number, since it is smaller than the sum of its proper divisors (1326271128).

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

810876072 is a wasteful number, since it uses less digits than its factorization.

810876072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 810876072 is about 28475.8857983382. The cubic root of 810876072 is about 932.5056997594.

The spelling of 810876072 in words is "eight hundred ten million, eight hundred seventy-six thousand, seventy-two".