806375264256 has 195 divisors, whose sum is σ = 2410422587551. Its totient is φ = 268619341824.

The previous prime is 806375264237. The next prime is 806375264273. The reversal of 806375264256 is 652462573608.

The square root of 806375264256 is 897984.

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

806375264256 is a `hidden beast` number, since 8 + 0 + 6 + 375 + 264 + 2 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 517238005 + ... + 517239563.

Almost surely, 2^806375264256 is an apocalyptic number.

806375264256 is the 897984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806375264256

806375264256 is an abundant number, since it is smaller than the sum of its proper divisors (1604047323295).

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

806375264256 is an frugal number, since it uses more digits than its factorization.

806375264256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 806375264256 in words is "eight hundred six billion, three hundred seventy-five million, two hundred sixty-four thousand, two hundred fifty-six".