77085773 has 2 divisors, whose sum is σ = 77085774. Its totient is φ = 77085772.

The previous prime is 77085739. The next prime is 77085817. The reversal of 77085773 is 37758077.

It is an a-pointer prime, because the next prime (77085817) can be obtained adding 77085773 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64032004 + 13053769 = 8002^2 + 3613^2 .

It is a cyclic number.

It is not a de Polignac number, because 77085773 - 2¹² = 77081677 is a prime.

It is a super-3 number, since 3×77085773³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77085733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38542886 + 38542887.

It is an arithmetic number, because the mean of its divisors is an integer number (38542887).

Almost surely, 2^77085773 is an apocalyptic number.

It is an amenable number.

77085773 is a deficient number, since it is larger than the sum of its proper divisors (1).

77085773 is an equidigital number, since it uses as much as digits as its factorization.

77085773 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288120, while the sum is 44.

The square root of 77085773 is about 8779.8503973587. The cubic root of 77085773 is about 425.5899957987.

The spelling of 77085773 in words is "seventy-seven million, eighty-five thousand, seven hundred seventy-three".