818872320 has 408 divisors, whose sum is σ = 3227492304. Its totient is φ = 176160768.

The previous prime is 818872319. The next prime is 818872331. The reversal of 818872320 is 23278818.

It is a tau number, because it is divible by the number of its divisors (408).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48168952 + ... + 48168968.

Almost surely, 2^818872320 is an apocalyptic number.

818872320 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 818872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613746152).

818872320 is an abundant number, since it is smaller than the sum of its proper divisors (2408619984).

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

818872320 is an equidigital number, since it uses as much as digits as its factorization.

818872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 818872320 is about 28615.9452054270. The cubic root of 818872320 is about 935.5609014998.

It can be divided in two parts, 8188 and 72320, that added together give a palindrome (80508).

The spelling of 818872320 in words is "eight hundred eighteen million, eight hundred seventy-two thousand, three hundred twenty".