802778249 has 16 divisors (see below), whose sum is σ = 1004787840. Its totient is φ = 624395520.

The previous prime is 802778243. The next prime is 802778257. The reversal of 802778249 is 942877208.

It is a happy number.

It is not a de Polignac number, because 802778249 - 2²⁴ = 786001033 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (802778243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69392 + ... + 80129.

It is an arithmetic number, because the mean of its divisors is an integer number (62799240).

Almost surely, 2^802778249 is an apocalyptic number.

It is an amenable number.

802778249 is a deficient number, since it is larger than the sum of its proper divisors (202009591).

802778249 is a wasteful number, since it uses less digits than its factorization.

802778249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149600.

The product of its (nonzero) digits is 451584, while the sum is 47.

The square root of 802778249 is about 28333.3416490184. The cubic root of 802778249 is about 929.3911492561.

The spelling of 802778249 in words is "eight hundred two million, seven hundred seventy-eight thousand, two hundred forty-nine".