805657216 has 192 divisors, whose sum is σ = 2068272360. Its totient is φ = 309657600.

The previous prime is 805657211. The next prime is 805657231. The reversal of 805657216 is 612756508.

It can be written as a sum of positive squares in 4 ways, for example, as 441000000 + 364657216 = 21000^2 + 19096^2 .

It is not an unprimeable number, because it can be changed into a prime (805657211) 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, 3342856 + ... + 3343096.

Almost surely, 2^805657216 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 805657216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034136180).

805657216 is an abundant number, since it is smaller than the sum of its proper divisors (1262615144).

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

805657216 is a wasteful number, since it uses less digits than its factorization.

805657216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 805657216 is about 28384.1014654331. The cubic root of 805657216 is about 930.5008347953.

The spelling of 805657216 in words is "eight hundred five million, six hundred fifty-seven thousand, two hundred sixteen".