806205312 has 160 divisors (see below), whose sum is σ = 2617738200. Its totient is φ = 244270080.

The previous prime is 806205277. The next prime is 806205319. The reversal of 806205312 is 213502608.

806205312 is a `hidden beast` number, since 8 + 0 + 620 + 5 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806205319) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 110514 + ... + 117582.

Almost surely, 2^806205312 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 806205312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308869100).

806205312 is an abundant number, since it is smaller than the sum of its proper divisors (1811532888).

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

806205312 is a wasteful number, since it uses less digits than its factorization.

806205312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7106 (or 7085 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 806205312 is about 28393.7548062950. The cubic root of 806205312 is about 930.7117963828.

The spelling of 806205312 in words is "eight hundred six million, two hundred five thousand, three hundred twelve".