805820400 has 1200 divisors, whose sum is σ = 4018671360. Its totient is φ = 149299200.

The previous prime is 805820377. The next prime is 805820401. The reversal of 805820400 is 4028508.

805820400 is a `hidden beast` number, since 80 + 582 + 0 + 4 + 0 + 0 = 666.

805820400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805820401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 42411591 + ... + 42411609.

Almost surely, 2^805820400 is an apocalyptic number.

805820400 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 805820400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009335680).

805820400 is an abundant number, since it is smaller than the sum of its proper divisors (3212850960).

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

805820400 is a wasteful number, since it uses less digits than its factorization.

805820400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 805820400 is about 28386.9758868394. The cubic root of 805820400 is about 930.5636541493.

Adding to 805820400 its reverse (4028508), we get a palindrome (809848908).

The spelling of 805820400 in words is "eight hundred five million, eight hundred twenty thousand, four hundred".