806691385600 has 243 divisors, whose sum is σ = 2034928254303. Its totient is φ = 316612177920.

The previous prime is 806691385573. The next prime is 806691385603. The reversal of 806691385600 is 6583196608.

The square root of 806691385600 is 898160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2957619456 + 803733766144 = 54384^2 + 896512^2 .

It is a super-3 number, since 3×806691385600³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (806691385603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7400838346 + ... + 7400838454.

Almost surely, 2^806691385600 is an apocalyptic number.

806691385600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

806691385600 is the 898160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806691385600

806691385600 is an abundant number, since it is smaller than the sum of its proper divisors (1228236868703).

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

806691385600 is an equidigital number, since it uses as much as digits as its factorization.

806691385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 806691385600 in words is "eight hundred six billion, six hundred ninety-one million, three hundred eighty-five thousand, six hundred".