804212400 has 60 divisors (see below), whose sum is σ = 2576164232. Its totient is φ = 214456320.

The previous prime is 804212389. The next prime is 804212413. The reversal of 804212400 is 4212408.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333889 + ... + 336288.

Almost surely, 2^804212400 is an apocalyptic number.

804212400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

804212400 is an abundant number, since it is smaller than the sum of its proper divisors (1771951832).

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

804212400 is a wasteful number, since it uses less digits than its factorization.

804212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670198 (or 670187 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 804212400 is about 28358.6388954054. The cubic root of 804212400 is about 929.9442676742.

Adding to 804212400 its reverse (4212408), we get a palindrome (808424808).

The spelling of 804212400 in words is "eight hundred four million, two hundred twelve thousand, four hundred".