82778306 has 16 divisors (see below), whose sum is σ = 134950200. Its totient is φ = 37853568.

The previous prime is 82778273. The next prime is 82778309. The reversal of 82778306 is 60387728.

It can be written as a sum of positive squares in 4 ways, for example, as 61701025 + 21077281 = 7855^2 + 4591^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82778309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11771 + ... + 17438.

Almost surely, 2^82778306 is an apocalyptic number.

82778306 is a deficient number, since it is larger than the sum of its proper divisors (52171894).

82778306 is a wasteful number, since it uses less digits than its factorization.

82778306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29333.

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 82778306 is about 9098.2584047718. The cubic root of 82778306 is about 435.8183494059.

The spelling of 82778306 in words is "eighty-two million, seven hundred seventy-eight thousand, three hundred six".