806084411904 has 240 divisors, whose sum is σ = 2479829952600. Its totient is φ = 251188346880.

The previous prime is 806084411903. The next prime is 806084411911. The reversal of 806084411904 is 409114480608.

It can be written as a sum of positive squares in 4 ways, for example, as 693156153600 + 112928258304 = 832560^2 + 336048^2 .

It is a super-2 number, since 2×806084411904² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 806084411904.

It is not an unprimeable number, because it can be changed into a prime (806084411903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11637534 + ... + 11706594.

Almost surely, 2^806084411904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806084411904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239914976300).

806084411904 is an abundant number, since it is smaller than the sum of its proper divisors (1673745540696).

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

806084411904 is a wasteful number, since it uses less digits than its factorization.

806084411904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69251 (or 69232 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 806084411904 in words is "eight hundred six billion, eighty-four million, four hundred eleven thousand, nine hundred four".