810256224 has 96 divisors (see below), whose sum is σ = 2186642304. Its totient is φ = 262563840.

The previous prime is 810256169. The next prime is 810256277. The reversal of 810256224 is 422652018.

It is a Cunningham number, because it is equal to 28465²-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 810256191 and 810256200.

It is a congruent number.

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, 1366072 + ... + 1366664.

It is an arithmetic number, because the mean of its divisors is an integer number (22777524).

Almost surely, 2^810256224 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 810256224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093321152).

810256224 is an abundant number, since it is smaller than the sum of its proper divisors (1376386080).

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

810256224 is a wasteful number, since it uses less digits than its factorization.

810256224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 810256224 is about 28464.9999824346. Note that the first 4 decimals coincide. The cubic root of 810256224 is about 932.2680312441.

The spelling of 810256224 in words is "eight hundred ten million, two hundred fifty-six thousand, two hundred twenty-four".