806676000 has 192 divisors, whose sum is σ = 2846503296. Its totient is φ = 198528000.

The previous prime is 806675983. The next prime is 806676007. The reversal of 806676000 is 676608.

It is not an unprimeable number, because it can be changed into a prime (806676007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153415 + ... + 158585.

It is an arithmetic number, because the mean of its divisors is an integer number (14825538).

Almost surely, 2^806676000 is an apocalyptic number.

806676000 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 806676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423251648).

806676000 is an abundant number, since it is smaller than the sum of its proper divisors (2039827296).

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

806676000 is a wasteful number, since it uses less digits than its factorization.

806676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5212 (or 5194 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 806676000 is about 28402.0421800968. The cubic root of 806676000 is about 930.8928874114.

The spelling of 806676000 in words is "eight hundred six million, six hundred seventy-six thousand".