806414578257 has 8 divisors (see below), whose sum is σ = 1075925431584. Its totient is φ = 537256721888.

The previous prime is 806414578217. The next prime is 806414578273. The reversal of 806414578257 is 752875414608.

806414578257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 806414578257 - 2¹⁰ = 806414577233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 806414578197 and 806414578206.

It is not an unprimeable number, because it can be changed into a prime (806414578217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88243908 + ... + 88253045.

It is an arithmetic number, because the mean of its divisors is an integer number (134490678948).

Almost surely, 2^806414578257 is an apocalyptic number.

It is an amenable number.

806414578257 is a deficient number, since it is larger than the sum of its proper divisors (269510853327).

806414578257 is a wasteful number, since it uses less digits than its factorization.

806414578257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176498479.

The product of its (nonzero) digits is 15052800, while the sum is 57.

The spelling of 806414578257 in words is "eight hundred six billion, four hundred fourteen million, five hundred seventy-eight thousand, two hundred fifty-seven".