818036400 has 240 divisors, whose sum is σ = 2769894144. Its totient is φ = 205962240.

The previous prime is 818036353. The next prime is 818036407. The reversal of 818036400 is 4630818.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (818036407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2953062 + ... + 2953338.

Almost surely, 2^818036400 is an apocalyptic number.

818036400 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 818036400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384947072).

818036400 is an abundant number, since it is smaller than the sum of its proper divisors (1951857744).

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

818036400 is a wasteful number, since it uses less digits than its factorization.

818036400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 818036400 is about 28601.3356331483. The cubic root of 818036400 is about 935.2424471603.

The spelling of 818036400 in words is "eight hundred eighteen million, thirty-six thousand, four hundred".