806408856 has 144 divisors (see below), whose sum is σ = 2420461680. Its totient is φ = 242352000.

The previous prime is 806408843. The next prime is 806408861. The reversal of 806408856 is 658804608.

806408856 is a modest number, since divided by 8856 gives 8064 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1315206 + ... + 1315818.

Almost surely, 2^806408856 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 806408856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210230840).

806408856 is an abundant number, since it is smaller than the sum of its proper divisors (1614052824).

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

806408856 is a wasteful number, since it uses less digits than its factorization.

806408856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 806408856 is about 28397.3388894100. The cubic root of 806408856 is about 930.7901159120.

The spelling of 806408856 in words is "eight hundred six million, four hundred eight thousand, eight hundred fifty-six".