806407056 has 320 divisors, whose sum is σ = 2898147840. Its totient is φ = 209018880.

The previous prime is 806407013. The next prime is 806407067. The reversal of 806407056 is 650704608.

It is a happy number.

806407056 is a `hidden beast` number, since 8 + 0 + 640 + 7 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 806407056.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2869636 + ... + 2869916.

It is an arithmetic number, because the mean of its divisors is an integer number (9056712).

Almost surely, 2^806407056 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 806407056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449073920).

806407056 is an abundant number, since it is smaller than the sum of its proper divisors (2091740784).

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

806407056 is a wasteful number, since it uses less digits than its factorization.

806407056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 806407056 is about 28397.3071962818. The cubic root of 806407056 is about 930.7894233669.

The spelling of 806407056 in words is "eight hundred six million, four hundred seven thousand, fifty-six".