7826738401 has 2 divisors, whose sum is σ = 7826738402. Its totient is φ = 7826738400.

The previous prime is 7826738363. The next prime is 7826738411. The reversal of 7826738401 is 1048376287.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4865202001 + 2961536400 = 69751^2 + 54420^2 .

It is a cyclic number.

It is not a de Polignac number, because 7826738401 - 2⁹ = 7826737889 is a prime.

It is a super-2 number, since 2×7826738401² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (7826738411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3913369200 + 3913369201.

It is an arithmetic number, because the mean of its divisors is an integer number (3913369201).

Almost surely, 2^7826738401 is an apocalyptic number.

It is an amenable number.

7826738401 is a deficient number, since it is larger than the sum of its proper divisors (1).

7826738401 is an equidigital number, since it uses as much as digits as its factorization.

7826738401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 7826738401 is about 88468.8555425015. The cubic root of 7826738401 is about 1985.4560262002.

The spelling of 7826738401 in words is "seven billion, eight hundred twenty-six million, seven hundred thirty-eight thousand, four hundred one".