800705601 has 16 divisors (see below), whose sum is σ = 1237806720. Its totient is φ = 510594480.

The previous prime is 800705561. The next prime is 800705611. The reversal of 800705601 is 106507008.

It is not a de Polignac number, because 800705601 - 2⁷ = 800705473 is a prime.

It is a super-2 number, since 2×800705601² = 1282258918945542402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (800705611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 644070 + ... + 645311.

It is an arithmetic number, because the mean of its divisors is an integer number (77362920).

Almost surely, 2^800705601 is an apocalyptic number.

It is an amenable number.

800705601 is a deficient number, since it is larger than the sum of its proper divisors (437101119).

800705601 is a wasteful number, since it uses less digits than its factorization.

800705601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289413 (or 1289407 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 800705601 is about 28296.7418795875. The cubic root of 800705601 is about 928.5906123318.

The spelling of 800705601 in words is "eight hundred million, seven hundred five thousand, six hundred one".