806870160 has 200 divisors, whose sum is σ = 2871675576. Its totient is φ = 209848320.

The previous prime is 806870143. The next prime is 806870171. The reversal of 806870160 is 61078608.

It can be written as a sum of positive squares in 4 ways, for example, as 42458256 + 764411904 = 6516^2 + 27648^2 .

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 264162 + ... + 267198.

Almost surely, 2^806870160 is an apocalyptic number.

806870160 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 806870160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435837788).

806870160 is an abundant number, since it is smaller than the sum of its proper divisors (2064805416).

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

806870160 is a wasteful number, since it uses less digits than its factorization.

806870160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 806870160 is about 28405.4600385208. The cubic root of 806870160 is about 930.9675674002.

The spelling of 806870160 in words is "eight hundred six million, eight hundred seventy thousand, one hundred sixty".