828080753305 has 16 divisors (see below), whose sum is σ = 1070253066960. Its totient is φ = 611438393088.

The previous prime is 828080753287. The next prime is 828080753309. The reversal of 828080753305 is 503357080828.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 37631732121 + 790449021184 = 193989^2 + 889072^2 .

It is a cyclic number.

It is not a de Polignac number, because 828080753305 - 2¹³ = 828080745113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (828080753309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103810 + ... + 1291099.

It is an arithmetic number, because the mean of its divisors is an integer number (66890816685).

Almost surely, 2^828080753305 is an apocalyptic number.

It is an amenable number.

828080753305 is a deficient number, since it is larger than the sum of its proper divisors (242172313655).

828080753305 is a wasteful number, since it uses less digits than its factorization.

828080753305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404060.

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 828080753305 in words is "eight hundred twenty-eight billion, eighty million, seven hundred fifty-three thousand, three hundred five".