818431680 has 448 divisors, whose sum is σ = 3096963072. Its totient is φ = 180879360.

The previous prime is 818431667. The next prime is 818431681. The reversal of 818431680 is 86134818.

It is not an unprimeable number, because it can be changed into a prime (818431681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8437392 + ... + 8437488.

It is an arithmetic number, because the mean of its divisors is an integer number (6912864).

Almost surely, 2^818431680 is an apocalyptic number.

818431680 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 818431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548481536).

818431680 is an abundant number, since it is smaller than the sum of its proper divisors (2278531392).

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

818431680 is a wasteful number, since it uses less digits than its factorization.

818431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 818431680 is about 28608.2449653942. The cubic root of 818431680 is about 935.3930611208.

The spelling of 818431680 in words is "eight hundred eighteen million, four hundred thirty-one thousand, six hundred eighty".