806511763600 has 135 divisors (see below), whose sum is σ = 1964902863819. Its totient is φ = 318128774400.

The previous prime is 806511763549. The next prime is 806511763627. The reversal of 806511763600 is 6367115608.

The square root of 806511763600 is 898060.

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

806511763600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 47578079376 + 758933684224 = 218124^2 + 871168^2 .

It is a super-2 number, since 2×806511763600² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1490779330 + ... + 1490779870.

Almost surely, 2^806511763600 is an apocalyptic number.

806511763600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

806511763600 is the 898060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806511763600

806511763600 is an abundant number, since it is smaller than the sum of its proper divisors (1158391100219).

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

806511763600 is an frugal number, since it uses more digits than its factorization.

806511763600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 806511763600 in words is "eight hundred six billion, five hundred eleven million, seven hundred sixty-three thousand, six hundred".