818117280 has 384 divisors, whose sum is σ = 3048192000. Its totient is φ = 204595200.

The previous prime is 818117243. The next prime is 818117317. The reversal of 818117280 is 82711818.

It is an interprime number because it is at equal distance from previous prime (818117243) and next prime (818117317).

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5490646 + ... + 5490794.

It is an arithmetic number, because the mean of its divisors is an integer number (7938000).

Almost surely, 2^818117280 is an apocalyptic number.

818117280 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 818117280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524096000).

818117280 is an abundant number, since it is smaller than the sum of its proper divisors (2230074720).

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

818117280 is a wasteful number, since it uses less digits than its factorization.

818117280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The square root of 818117280 is about 28602.7495181844. The cubic root of 818117280 is about 935.2732689005.

The spelling of 818117280 in words is "eight hundred eighteen million, one hundred seventeen thousand, two hundred eighty".