818132400 has 360 divisors, whose sum is σ = 3106259520. Its totient is φ = 206219520.

The previous prime is 818132387. The next prime is 818132401. The reversal of 818132400 is 4231818.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (818132401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1846579 + ... + 1847021.

Almost surely, 2^818132400 is an apocalyptic number.

818132400 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 818132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553129760).

818132400 is an abundant number, since it is smaller than the sum of its proper divisors (2288127120).

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

818132400 is a wasteful number, since it uses less digits than its factorization.

818132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 818132400 is about 28603.0138272176. The cubic root of 818132400 is about 935.2790306029.

The spelling of 818132400 in words is "eight hundred eighteen million, one hundred thirty-two thousand, four hundred".