818428800 has 384 divisors, whose sum is σ = 3248006400. Its totient is φ = 176947200.

The previous prime is 818428777. The next prime is 818428823. The reversal of 818428800 is 8824818.

It is an interprime number because it is at equal distance from previous prime (818428777) and next prime (818428823).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1276480 + ... + 1277120.

It is an arithmetic number, because the mean of its divisors is an integer number (8458350).

Almost surely, 2^818428800 is an apocalyptic number.

818428800 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 818428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624003200).

818428800 is an abundant number, since it is smaller than the sum of its proper divisors (2429577600).

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

818428800 is a wasteful number, since it uses less digits than its factorization.

818428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 818428800 is about 28608.1946302104. The cubic root of 818428800 is about 935.3919639267.

The spelling of 818428800 in words is "eight hundred eighteen million, four hundred twenty-eight thousand, eight hundred".