77957401 has 2 divisors, whose sum is σ = 77957402. Its totient is φ = 77957400.

The previous prime is 77957377. The next prime is 77957413. The reversal of 77957401 is 10475977.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75707401 + 2250000 = 8701^2 + 1500^2 .

It is an emirp because it is prime and its reverse (10475977) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77957401 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (77957491) 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, 38978700 + 38978701.

It is an arithmetic number, because the mean of its divisors is an integer number (38978701).

Almost surely, 2^77957401 is an apocalyptic number.

It is an amenable number.

77957401 is a deficient number, since it is larger than the sum of its proper divisors (1).

77957401 is an equidigital number, since it uses as much as digits as its factorization.

77957401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61740, while the sum is 40.

The square root of 77957401 is about 8829.3488434878. The cubic root of 77957401 is about 427.1880715323.

The spelling of 77957401 in words is "seventy-seven million, nine hundred fifty-seven thousand, four hundred one".