806412800 has 90 divisors (see below), whose sum is σ = 2005942389. Its totient is φ = 321280000.

The previous prime is 806412787. The next prime is 806412829. The reversal of 806412800 is 8214608.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 790284544 + 16128256 = 28112^2 + 4016^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=20080.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3212675 + ... + 3212925.

Almost surely, 2^806412800 is an apocalyptic number.

806412800 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 806412800

806412800 is an abundant number, since it is smaller than the sum of its proper divisors (1199529589).

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

806412800 is an frugal number, since it uses more digits than its factorization.

806412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 806412800 is about 28397.4083324517. The cubic root of 806412800 is about 930.7916333516.

The spelling of 806412800 in words is "eight hundred six million, four hundred twelve thousand, eight hundred".