818433720 has 448 divisors, whose sum is σ = 3173022720. Its totient is φ = 188116992.

The previous prime is 818433713. The next prime is 818433727. The reversal of 818433720 is 27334818.

It is an interprime number because it is at equal distance from previous prime (818433713) and next prime (818433727).

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 (818433727) 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 111 ways as a sum of consecutive naturals, for example, 6444297 + ... + 6444423.

It is an arithmetic number, because the mean of its divisors is an integer number (7082640).

Almost surely, 2^818433720 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 818433720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586511360).

818433720 is an abundant number, since it is smaller than the sum of its proper divisors (2354589000).

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

818433720 is a wasteful number, since it uses less digits than its factorization.

818433720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 818433720 is about 28608.2806194291. The cubic root of 818433720 is about 935.3938382984.

The spelling of 818433720 in words is "eight hundred eighteen million, four hundred thirty-three thousand, seven hundred twenty".