805424400 has 405 divisors, whose sum is σ = 3145350117. Its totient is φ = 190713600.

The previous prime is 805424393. The next prime is 805424401. The reversal of 805424400 is 4424508.

The square root of 805424400 is 28380.

It is a perfect power (a square), and thus also a powerful number.

805424400 is a `hidden beast` number, since 80 + 542 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 289952784 + 515471616 = 17028^2 + 22704^2 .

It is not an unprimeable number, because it can be changed into a prime (805424401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18730779 + ... + 18730821.

Almost surely, 2^805424400 is an apocalyptic number.

805424400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

805424400 is the 28380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805424400

805424400 is an abundant number, since it is smaller than the sum of its proper divisors (2339925717).

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

805424400 is a wasteful number, since it uses less digits than its factorization.

805424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The cubic root of 805424400 is about 930.4111952030.

Adding to 805424400 its reverse (4424508), we get a palindrome (809848908).

The spelling of 805424400 in words is "eight hundred five million, four hundred twenty-four thousand, four hundred".