810827540280 has 256 divisors, whose sum is σ = 2715240528000. Its totient is φ = 215224418304.

The previous prime is 810827540233. The next prime is 810827540297. The reversal of 810827540280 is 82045728018.

It is a happy number.

810827540280 is a `hidden beast` number, since 8 + 1 + 0 + 8 + 27 + 540 + 2 + 80 = 666.

810827540280 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279883792 + ... + 279886688.

Almost surely, 2^810827540280 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 810827540280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357620264000).

810827540280 is an abundant number, since it is smaller than the sum of its proper divisors (1904412987720).

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

810827540280 is a wasteful number, since it uses less digits than its factorization.

810827540280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4023 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 810827540280 in words is "eight hundred ten billion, eight hundred twenty-seven million, five hundred forty thousand, two hundred eighty".