827378145 has 80 divisors (see below), whose sum is σ = 1627053120. Its totient is φ = 398908800.

The previous prime is 827378143. The next prime is 827378159. The reversal of 827378145 is 541873728.

It is not a de Polignac number, because 827378145 - 2¹ = 827378143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 827378145.

It is not an unprimeable number, because it can be changed into a prime (827378141) 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 79 ways as a sum of consecutive naturals, for example, 1019790 + ... + 1020600.

It is an arithmetic number, because the mean of its divisors is an integer number (20338164).

Almost surely, 2^827378145 is an apocalyptic number.

It is an amenable number.

827378145 is a deficient number, since it is larger than the sum of its proper divisors (799674975).

827378145 is a wasteful number, since it uses less digits than its factorization.

827378145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1059 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 827378145 is about 28764.1816327181. The cubic root of 827378145 is about 938.7890491634.

The spelling of 827378145 in words is "eight hundred twenty-seven million, three hundred seventy-eight thousand, one hundred forty-five".