817228349280 has 960 divisors, whose sum is σ = 3641944965120. Its totient is φ = 168156020736.

The previous prime is 817228349269. The next prime is 817228349317. The reversal of 817228349280 is 82943822718.

817228349280 is a `hidden beast` number, since 8 + 1 + 72 + 2 + 8 + 3 + 492 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35460001 + ... + 35483039.

It is an arithmetic number, because the mean of its divisors is an integer number (3793692672).

Almost surely, 2^817228349280 is an apocalyptic number.

817228349280 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 817228349280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820972482560).

817228349280 is an abundant number, since it is smaller than the sum of its proper divisors (2824716615840).

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

817228349280 is a wasteful number, since it uses less digits than its factorization.

817228349280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23113 (or 23096 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 817228349280 in words is "eight hundred seventeen billion, two hundred twenty-eight million, three hundred forty-nine thousand, two hundred eighty".