7821008801 has 2 divisors, whose sum is σ = 7821008802. Its totient is φ = 7821008800.

The previous prime is 7821008773. The next prime is 7821008809. The reversal of 7821008801 is 1088001287.

7821008801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7770598801 + 50410000 = 88151^2 + 7100^2 .

It is a cyclic number.

It is not a de Polignac number, because 7821008801 - 2⁶ = 7821008737 is a prime.

It is a super-2 number, since 2×7821008801² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (7821008809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3910504400 + 3910504401.

It is an arithmetic number, because the mean of its divisors is an integer number (3910504401).

Almost surely, 2^7821008801 is an apocalyptic number.

It is an amenable number.

7821008801 is a deficient number, since it is larger than the sum of its proper divisors (1).

7821008801 is an equidigital number, since it uses as much as digits as its factorization.

7821008801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7168, while the sum is 35.

The square root of 7821008801 is about 88436.4675968008. The cubic root of 7821008801 is about 1984.9714205099.

The spelling of 7821008801 in words is "seven billion, eight hundred twenty-one million, eight thousand, eight hundred one".