806051220 has 192 divisors, whose sum is σ = 2504785920. Its totient is φ = 192471552.

The previous prime is 806051219. The next prime is 806051221. The reversal of 806051220 is 22150608.

It is an interprime number because it is at equal distance from previous prime (806051219) and next prime (806051221).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806051221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6346797 + ... + 6346923.

It is an arithmetic number, because the mean of its divisors is an integer number (13045760).

Almost surely, 2^806051220 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 806051220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252392960).

806051220 is an abundant number, since it is smaller than the sum of its proper divisors (1698734700).

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

806051220 is a wasteful number, since it uses less digits than its factorization.

806051220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 806051220 is about 28391.0411926016. The cubic root of 806051220 is about 930.6524961946.

The spelling of 806051220 in words is "eight hundred six million, fifty-one thousand, two hundred twenty".