76761585 has 12 divisors (see below), whose sum is σ = 133053492. Its totient is φ = 40939488.

The previous prime is 76761583. The next prime is 76761599. The reversal of 76761585 is 58516767.

76761585 is a `hidden beast` number, since 7 + 6 + 7 + 61 + 585 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56295009 + 20466576 = 7503^2 + 4524^2 .

It is not a de Polignac number, because 76761585 - 2¹ = 76761583 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1705813 = 76761585 / (7 + 6 + 7 + 6 + 1 + 5 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 76761585.

It is not an unprimeable number, because it can be changed into a prime (76761583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 852862 + ... + 852951.

It is an arithmetic number, because the mean of its divisors is an integer number (11087791).

Almost surely, 2^76761585 is an apocalyptic number.

It is an amenable number.

76761585 is a deficient number, since it is larger than the sum of its proper divisors (56291907).

76761585 is a wasteful number, since it uses less digits than its factorization.

76761585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705824 (or 1705821 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 76761585 is about 8761.3688998923. The cubic root of 76761585 is about 424.9925442752.

It can be divided in two parts, 7676 and 1585, that added together give a cube (9261 = 21³).

The spelling of 76761585 in words is "seventy-six million, seven hundred sixty-one thousand, five hundred eighty-five".