810065776 has 80 divisors (see below), whose sum is σ = 1800447264. Its totient is φ = 349765632.

The previous prime is 810065771. The next prime is 810065783. The reversal of 810065776 is 677560018.

It is a super-2 number, since 2×810065776² = 1312413122892964352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810065771) 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 15 ways as a sum of consecutive naturals, for example, 681855 + ... + 683041.

Almost surely, 2^810065776 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 810065776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900223632).

810065776 is an abundant number, since it is smaller than the sum of its proper divisors (990381488).

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

810065776 is a wasteful number, since it uses less digits than its factorization.

810065776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 810065776 is about 28461.6544845868. The cubic root of 810065776 is about 932.1949833656.

The spelling of 810065776 in words is "eight hundred ten million, sixty-five thousand, seven hundred seventy-six".