849778001 has 18 divisors (see below), whose sum is σ = 895518918. Its totient is φ = 806339520.

The previous prime is 849777961. The next prime is 849778049. The reversal of 849778001 is 100877948.

It can be written as a sum of positive squares in 3 ways, for example, as 552250000 + 297528001 = 23500^2 + 17249^2 .

It is not a de Polignac number, because 849778001 - 2¹⁴ = 849761617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (849778081) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3023981 + ... + 3024261.

It is an arithmetic number, because the mean of its divisors is an integer number (49751051).

Almost surely, 2^849778001 is an apocalyptic number.

It is an amenable number.

849778001 is a deficient number, since it is larger than the sum of its proper divisors (45740917).

849778001 is an equidigital number, since it uses as much as digits as its factorization.

849778001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 44.

The square root of 849778001 is about 29150.9519741637. The cubic root of 849778001 is about 947.1857623185.

The spelling of 849778001 in words is "eight hundred forty-nine million, seven hundred seventy-eight thousand, one".