806042160 has 720 divisors, whose sum is σ = 3598912512. Its totient is φ = 159667200.

The previous prime is 806042147. The next prime is 806042177. The reversal of 806042160 is 61240608.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12030447 + ... + 12030513.

Almost surely, 2^806042160 is an apocalyptic number.

806042160 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 806042160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799456256).

806042160 is an abundant number, since it is smaller than the sum of its proper divisors (2792870352).

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

806042160 is a wasteful number, since it uses less digits than its factorization.

806042160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 806042160 is about 28390.8816347784. The cubic root of 806042160 is about 930.6490093429.

Adding to 806042160 its reverse (61240608), we get a palindrome (867282768).

The spelling of 806042160 in words is "eight hundred six million, forty-two thousand, one hundred sixty".