818746400 has 72 divisors (see below), whose sum is σ = 2018753604. Its totient is φ = 324224000.

The previous prime is 818746361. The next prime is 818746421. The reversal of 818746400 is 4647818.

It can be written as a sum of positive squares in 6 ways, for example, as 649434256 + 169312144 = 25484^2 + 13012^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75734 + ... + 85866.

Almost surely, 2^818746400 is an apocalyptic number.

818746400 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 818746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009376802).

818746400 is an abundant number, since it is smaller than the sum of its proper divisors (1200007204).

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

818746400 is a wasteful number, since it uses less digits than its factorization.

818746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10254 (or 10241 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 818746400 is about 28613.7449488878. The cubic root of 818746400 is about 935.5129445454.

The spelling of 818746400 in words is "eight hundred eighteen million, seven hundred forty-six thousand, four hundred".