77560965 has 12 divisors (see below), whose sum is σ = 134439084. Its totient is φ = 41365824.

The previous prime is 77560939. The next prime is 77560969. The reversal of 77560965 is 56906577.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 52969284 + 24591681 = 7278^2 + 4959^2 .

It is not a de Polignac number, because 77560965 - 2¹⁴ = 77544581 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: 1723577 = 77560965 / (7 + 7 + 5 + 6 + 0 + 9 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 77560965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77560969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 861744 + ... + 861833.

It is an arithmetic number, because the mean of its divisors is an integer number (11203257).

Almost surely, 2^77560965 is an apocalyptic number.

It is an amenable number.

77560965 is a deficient number, since it is larger than the sum of its proper divisors (56878119).

77560965 is a wasteful number, since it uses less digits than its factorization.

77560965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723588 (or 1723585 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 77560965 is about 8806.8703294644. The cubic root of 77560965 is about 426.4627154994.

The spelling of 77560965 in words is "seventy-seven million, five hundred sixty thousand, nine hundred sixty-five".