828778770401 has 2 divisors, whose sum is σ = 828778770402. Its totient is φ = 828778770400.

The previous prime is 828778770397. The next prime is 828778770419. The reversal of 828778770401 is 104077877828.

It is a happy number.

828778770401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 828728019025 + 50751376 = 910345^2 + 7124^2 .

It is a cyclic number.

It is not a de Polignac number, because 828778770401 - 2² = 828778770397 is a prime.

It is not a weakly prime, because it can be changed into another prime (828778770461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414389385200 + 414389385201.

It is an arithmetic number, because the mean of its divisors is an integer number (414389385201).

Almost surely, 2^828778770401 is an apocalyptic number.

It is an amenable number.

828778770401 is a deficient number, since it is larger than the sum of its proper divisors (1).

828778770401 is an equidigital number, since it uses as much as digits as its factorization.

828778770401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9834496, while the sum is 59.

The spelling of 828778770401 in words is "eight hundred twenty-eight billion, seven hundred seventy-eight million, seven hundred seventy thousand, four hundred one".