818380800 has 384 divisors, whose sum is σ = 3088009200. Its totient is φ = 212336640.

The previous prime is 818380789. The next prime is 818380807. The reversal of 818380800 is 8083818.

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

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818380807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22118382 + ... + 22118418.

Almost surely, 2^818380800 is an apocalyptic number.

818380800 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 818380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544004600).

818380800 is an abundant number, since it is smaller than the sum of its proper divisors (2269628400).

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

818380800 is an equidigital number, since it uses as much as digits as its factorization.

818380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 818380800 is about 28607.3556974426. The cubic root of 818380800 is about 935.3736769798.

The spelling of 818380800 in words is "eight hundred eighteen million, three hundred eighty thousand, eight hundred".