806188416 has 256 divisors, whose sum is σ = 2520460800. Its totient is φ = 225607680.

The previous prime is 806188403. The next prime is 806188441. The reversal of 806188416 is 614881608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7396170 + ... + 7396278.

It is an arithmetic number, because the mean of its divisors is an integer number (9845550).

Almost surely, 2^806188416 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 806188416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260230400).

806188416 is an abundant number, since it is smaller than the sum of its proper divisors (1714272384).

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

806188416 is a wasteful number, since it uses less digits than its factorization.

806188416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 806188416 is about 28393.4572745201. The cubic root of 806188416 is about 930.7052945583.

The spelling of 806188416 in words is "eight hundred six million, one hundred eighty-eight thousand, four hundred sixteen".