806664000 has 448 divisors, whose sum is σ = 2948025600. Its totient is φ = 193536000.

The previous prime is 806663999. The next prime is 806664007. The reversal of 806664000 is 466608.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806664007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13223970 + ... + 13224030.

Almost surely, 2^806664000 is an apocalyptic number.

806664000 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 806664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474012800).

806664000 is an abundant number, since it is smaller than the sum of its proper divisors (2141361600).

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

806664000 is a wasteful number, since it uses less digits than its factorization.

806664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 806664000 is about 28401.8309268962. The cubic root of 806664000 is about 930.8882714442. Note that the first 3 decimals are identical.

It can be divided in two parts, 80666 and 4000, that added together give a triangular number (84666 = T₄₁₁).

The spelling of 806664000 in words is "eight hundred six million, six hundred sixty-four thousand".