77265 has 24 divisors (see below), whose sum is σ = 143208. Its totient is φ = 38400.

The previous prime is 77263. The next prime is 77267. The reversal of 77265 is 56277.

It is an interprime number because it is at equal distance from previous prime (77263) and next prime (77267).

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 40401 = 192^2 + 201^2 .

It is not a de Polignac number, because 77265 - 2¹ = 77263 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (77261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 715 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (5967).

2⁷⁷²⁶⁵ is an apocalyptic number.

It is an amenable number.

77265 is a deficient number, since it is larger than the sum of its proper divisors (65943).

77265 is a wasteful number, since it uses less digits than its factorization.

77265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 126 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 77265 is about 277.9658252376. The cubic root of 77265 is about 42.5919577492.

The spelling of 77265 in words is "seventy-seven thousand, two hundred sixty-five".