77748001 has 2 divisors, whose sum is σ = 77748002. Its totient is φ = 77748000.

The previous prime is 77747983. The next prime is 77748029. The reversal of 77748001 is 10084777.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75342400 + 2405601 = 8680^2 + 1551^2 .

It is a cyclic number.

It is not a de Polignac number, because 77748001 - 2¹¹ = 77745953 is a prime.

It is equal to p_4545682 and since 77748001 and 4545682 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (77748071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38874000 + 38874001.

It is an arithmetic number, because the mean of its divisors is an integer number (38874001).

Almost surely, 2^77748001 is an apocalyptic number.

It is an amenable number.

77748001 is a deficient number, since it is larger than the sum of its proper divisors (1).

77748001 is an equidigital number, since it uses as much as digits as its factorization.

77748001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10976, while the sum is 34.

The square root of 77748001 is about 8817.4826906550. The cubic root of 77748001 is about 426.8052411076.

The spelling of 77748001 in words is "seventy-seven million, seven hundred forty-eight thousand, one".