800946601 has 27 divisors (see below), whose sum is σ = 1012151223. Its totient is φ = 631678320.

The previous prime is 800946593. The next prime is 800946607. The reversal of 800946601 is 106649008.

The square root of 800946601 is 28301.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 118483225 + 682463376 = 10885^2 + 26124^2 .

It is not a de Polignac number, because 800946601 - 2³ = 800946593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (800946607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2575236 + ... + 2575546.

Almost surely, 2^800946601 is an apocalyptic number.

800946601 is the 28301-st square number.

800946601 is the 14151-st centered octagonal number.

It is an amenable number.

800946601 is a deficient number, since it is larger than the sum of its proper divisors (211204622).

800946601 is an equidigital number, since it uses as much as digits as its factorization.

800946601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The cubic root of 800946601 is about 928.6837667898.

The spelling of 800946601 in words is "eight hundred million, nine hundred forty-six thousand, six hundred one".