806560000 has 135 divisors (see below), whose sum is σ = 2040552283. Its totient is φ = 318080000.

The previous prime is 806559979. The next prime is 806560063. The reversal of 806560000 is 65608.

The square root of 806560000 is 28400.

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

It can be written as a sum of positive squares in 2 ways, for example, as 63234304 + 743325696 = 7952^2 + 27264^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11359965 + ... + 11360035.

Almost surely, 2^806560000 is an apocalyptic number.

806560000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

806560000 is the 28400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806560000

806560000 is an abundant number, since it is smaller than the sum of its proper divisors (1233992283).

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

806560000 is an frugal number, since it uses more digits than its factorization.

806560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The cubic root of 806560000 is about 930.8482644767.

Multiplying 806560000 by its sum of digits (25), we get a square (20164000000 = 142000²).

806560000 divided by its sum of digits (25) gives a square (32262400 = 5680²).

The spelling of 806560000 in words is "eight hundred six million, five hundred sixty thousand".