85000777 has 2 divisors, whose sum is σ = 85000778. Its totient is φ = 85000776.

The previous prime is 85000733. The next prime is 85000793. The reversal of 85000777 is 77700058.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84989961 + 10816 = 9219^2 + 104^2 .

It is a cyclic number.

It is not a de Polignac number, because 85000777 - 2¹¹ = 84998729 is a prime.

85000777 is a modest number, since divided by 777 gives 85 as remainder.

It is not a weakly prime, because it can be changed into another prime (85000177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42500388 + 42500389.

It is an arithmetic number, because the mean of its divisors is an integer number (42500389).

Almost surely, 2^85000777 is an apocalyptic number.

It is an amenable number.

85000777 is a deficient number, since it is larger than the sum of its proper divisors (1).

85000777 is an equidigital number, since it uses as much as digits as its factorization.

85000777 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13720, while the sum is 34.

The square root of 85000777 is about 9219.5865959380. The cubic root of 85000777 is about 439.6843069516.

It can be divided in two parts, 850007 and 77, that added together give a square (850084 = 922²).

The spelling of 85000777 in words is "eighty-five million, seven hundred seventy-seven", and thus it is an aban number.