806616000 has 336 divisors, whose sum is σ = 3059765280. Its totient is φ = 202137600.

The previous prime is 806615977. The next prime is 806616011. The reversal of 806616000 is 616608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223671 + ... + 1224329.

Almost surely, 2^806616000 is an apocalyptic number.

806616000 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 806616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529882640).

806616000 is an abundant number, since it is smaller than the sum of its proper divisors (2253149280).

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

806616000 is a wasteful number, since it uses less digits than its factorization.

806616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 806616000 is about 28400.9858983804. The cubic root of 806616000 is about 930.8698071173.

The spelling of 806616000 in words is "eight hundred six million, six hundred sixteen thousand".