806157729 has 12 divisors (see below), whose sum is σ = 1254023316. Its totient is φ = 496096992.

The previous prime is 806157727. The next prime is 806157757. The reversal of 806157729 is 927751608.

806157729 is a `hidden beast` number, since 8 + 0 + 615 + 7 + 7 + 29 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67568400 + 738589329 = 8220^2 + 27177^2 .

It is not a de Polignac number, because 806157729 - 2¹ = 806157727 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (806157727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3445002 + ... + 3445235.

It is an arithmetic number, because the mean of its divisors is an integer number (104501943).

Almost surely, 2^806157729 is an apocalyptic number.

It is an amenable number.

806157729 is a deficient number, since it is larger than the sum of its proper divisors (447865587).

806157729 is a wasteful number, since it uses less digits than its factorization.

806157729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6890256 (or 6890253 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 806157729 is about 28392.9168807997. The cubic root of 806157729 is about 930.6934855257.

The spelling of 806157729 in words is "eight hundred six million, one hundred fifty-seven thousand, seven hundred twenty-nine".