77754013 has 2 divisors, whose sum is σ = 77754014. Its totient is φ = 77754012.

The previous prime is 77753993. The next prime is 77754029. The reversal of 77754013 is 31045777.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49589764 + 28164249 = 7042^2 + 5307^2 .

It is a cyclic number.

It is not a de Polignac number, because 77754013 - 2¹³ = 77745821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77754013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77754113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38877006 + 38877007.

It is an arithmetic number, because the mean of its divisors is an integer number (38877007).

Almost surely, 2^77754013 is an apocalyptic number.

It is an amenable number.

77754013 is a deficient number, since it is larger than the sum of its proper divisors (1).

77754013 is an equidigital number, since it uses as much as digits as its factorization.

77754013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20580, while the sum is 34.

The square root of 77754013 is about 8817.8235976912. The cubic root of 77754013 is about 426.8162419777.

The spelling of 77754013 in words is "seventy-seven million, seven hundred fifty-four thousand, thirteen".