5000777 has 2 divisors, whose sum is σ = 5000778. Its totient is φ = 5000776.

The previous prime is 5000761. The next prime is 5000783. The reversal of 5000777 is 7770005.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4343056 + 657721 = 2084^2 + 811^2 .

It is a cyclic number.

It is not a de Polignac number, because 5000777 - 2⁴ = 5000761 is a prime.

5000777 is a modest number, since divided by 777 gives 5 as remainder.

It is equal to p₃₄₈₅₆₀ and since 5000777 and 348560 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 (5000747) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2500388 + 2500389.

It is an arithmetic number, because the mean of its divisors is an integer number (2500389).

Almost surely, 2^5000777 is an apocalyptic number.

It is an amenable number.

5000777 is a deficient number, since it is larger than the sum of its proper divisors (1).

5000777 is an equidigital number, since it uses as much as digits as its factorization.

5000777 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1715, while the sum is 26.

The square root of 5000777 is about 2236.2417132323. The cubic root of 5000777 is about 171.0064518843.

The spelling of 5000777 in words is "five million, seven hundred seventy-seven", and thus it is an aban number.