812664000 has 168 divisors, whose sum is σ = 2907292128. Its totient is φ = 216691200.

The previous prime is 812663987. The next prime is 812664007. The reversal of 812664000 is 466218.

812664000 is a `hidden beast` number, since 8 + 12 + 6 + 640 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (812664007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66357 + ... + 77643.

Almost surely, 2^812664000 is an apocalyptic number.

812664000 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 812664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453646064).

812664000 is an abundant number, since it is smaller than the sum of its proper divisors (2094628128).

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

812664000 is a wasteful number, since it uses less digits than its factorization.

812664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11320 (or 11297 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 812664000 is about 28507.2622326312. The cubic root of 812664000 is about 933.1905677324.

The spelling of 812664000 in words is "eight hundred twelve million, six hundred sixty-four thousand".