810466560 has 180 divisors, whose sum is σ = 2900368548. Its totient is φ = 216096768.

The previous prime is 810466523. The next prime is 810466561. The reversal of 810466560 is 65664018.

It can be written as a sum of positive squares in 2 ways, for example, as 93083904 + 717382656 = 9648^2 + 26784^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810466561) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 99772 + ... + 107588.

Almost surely, 2^810466560 is an apocalyptic number.

810466560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450184274).

810466560 is an abundant number, since it is smaller than the sum of its proper divisors (2089901988).

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

810466560 is an equidigital number, since it uses as much as digits as its factorization.

810466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7850 (or 7827 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 810466560 is about 28468.6943852366. The cubic root of 810466560 is about 932.3486940260.

It can be divided in two parts, 810 and 466560, that multiplied together give a square (377913600 = 19440²).

The spelling of 810466560 in words is "eight hundred ten million, four hundred sixty-six thousand, five hundred sixty".