806223780 has 180 divisors, whose sum is σ = 2636490780. Its totient is φ = 205994880.

The previous prime is 806223779. The next prime is 806223787. The reversal of 806223780 is 87322608.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 355850496 + 450373284 = 18864^2 + 21222^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806223787) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6154315 + ... + 6154445.

It is an arithmetic number, because the mean of its divisors is an integer number (14647171).

Almost surely, 2^806223780 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 806223780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318245390).

806223780 is an abundant number, since it is smaller than the sum of its proper divisors (1830267000).

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

806223780 is a wasteful number, since it uses less digits than its factorization.

806223780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 806223780 is about 28394.0800167922. The cubic root of 806223780 is about 930.7189030317.

The spelling of 806223780 in words is "eight hundred six million, two hundred twenty-three thousand, seven hundred eighty".