806195520 has 336 divisors, whose sum is σ = 3043836432. Its totient is φ = 194641920.

The previous prime is 806195497. The next prime is 806195521. The reversal of 806195520 is 25591608.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 268697664 + 537497856 = 16392^2 + 23184^2 .

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 (806195521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2283664 + ... + 2284016.

It is an arithmetic number, because the mean of its divisors is an integer number (9059037).

Almost surely, 2^806195520 is an apocalyptic number.

806195520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806195520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521918216).

806195520 is an abundant number, since it is smaller than the sum of its proper divisors (2237640912).

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

806195520 is a wasteful number, since it uses less digits than its factorization.

806195520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 806195520 is about 28393.5823734871. The cubic root of 806195520 is about 930.7080282910.

The spelling of 806195520 in words is "eight hundred six million, one hundred ninety-five thousand, five hundred twenty".