817485120 has 336 divisors, whose sum is σ = 3038368320. Its totient is φ = 200982528.

The previous prime is 817485079. The next prime is 817485121. The reversal of 817485120 is 21584718.

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 (817485121) 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 47 ways as a sum of consecutive naturals, for example, 2888499 + ... + 2888781.

Almost surely, 2^817485120 is an apocalyptic number.

817485120 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 817485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519184160).

817485120 is an abundant number, since it is smaller than the sum of its proper divisors (2220883200).

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

817485120 is a wasteful number, since it uses less digits than its factorization.

817485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 817485120 is about 28591.6966967685. The cubic root of 817485120 is about 935.0323113125.

It can be divided in two parts, 81748 and 5120, that added together give a palindrome (86868).

The spelling of 817485120 in words is "eight hundred seventeen million, four hundred eighty-five thousand, one hundred twenty".