811382400 has 192 divisors, whose sum is σ = 2969750400. Its totient is φ = 216345600.

The previous prime is 811382393. The next prime is 811382413. The reversal of 811382400 is 4283118.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81705 + ... + 91095.

It is an arithmetic number, because the mean of its divisors is an integer number (15467450).

Almost surely, 2^811382400 is an apocalyptic number.

811382400 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 811382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484875200).

811382400 is an abundant number, since it is smaller than the sum of its proper divisors (2158368000).

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

811382400 is a wasteful number, since it uses less digits than its factorization.

811382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9424 (or 9401 counting only the distinct ones).

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

The square root of 811382400 is about 28484.7748806270. The cubic root of 811382400 is about 932.6997514039.

It can be divided in two parts, 81138 and 2400, that added together give a palindrome (83538).

The spelling of 811382400 in words is "eight hundred eleven million, three hundred eighty-two thousand, four hundred".