810465792 has 80 divisors (see below), whose sum is σ = 2165486400. Its totient is φ = 269361152.

The previous prime is 810465787. The next prime is 810465809. The reversal of 810465792 is 297564018.

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 772084 + ... + 773132.

It is an arithmetic number, because the mean of its divisors is an integer number (27068580).

Almost surely, 2^810465792 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 810465792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082743200).

810465792 is an abundant number, since it is smaller than the sum of its proper divisors (1355020608).

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

810465792 is a wasteful number, since it uses less digits than its factorization.

810465792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 810465792 is about 28468.6808967328. The cubic root of 810465792 is about 932.3483995273.

The spelling of 810465792 in words is "eight hundred ten million, four hundred sixty-five thousand, seven hundred ninety-two".