77712001 has 2 divisors, whose sum is σ = 77712002. Its totient is φ = 77712000.

The previous prime is 77711989. The next prime is 77712007. The reversal of 77712001 is 10021777.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45495025 + 32216976 = 6745^2 + 5676^2 .

It is an emirp because it is prime and its reverse (10021777) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77712001 - 2⁷ = 77711873 is a prime.

It is not a weakly prime, because it can be changed into another prime (77712007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38856000 + 38856001.

It is an arithmetic number, because the mean of its divisors is an integer number (38856001).

Almost surely, 2^77712001 is an apocalyptic number.

It is an amenable number.

77712001 is a deficient number, since it is larger than the sum of its proper divisors (1).

77712001 is an equidigital number, since it uses as much as digits as its factorization.

77712001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 686, while the sum is 25.

The square root of 77712001 is about 8815.4410553301. The cubic root of 77712001 is about 426.7393557661.

Adding to 77712001 its reverse (10021777), we get a palindrome (87733778).

The spelling of 77712001 in words is "seventy-seven million, seven hundred twelve thousand, one".