77060 has 12 divisors (see below), whose sum is σ = 161868. Its totient is φ = 30816.

The previous prime is 77047. The next prime is 77069. The reversal of 77060 is 6077.

It can be written as a sum of positive squares in 2 ways, for example, as 58564 + 18496 = 242^2 + 136^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 3853 = 77060 / (7 + 7 + 0 + 6 + 0).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 77060.

It is not an unprimeable number, because it can be changed into a prime (77069) by changing a digit.

77060 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1907 + ... + 1946.

It is an arithmetic number, because the mean of its divisors is an integer number (13489).

2⁷⁷⁰⁶⁰ is an apocalyptic number.

It is an amenable number.

77060 is an abundant number, since it is smaller than the sum of its proper divisors (84808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80934).

77060 is a wasteful number, since it uses less digits than its factorization.

77060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3862 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 77060 is about 277.5968299531. The cubic root of 77060 is about 42.5542559663.

The spelling of 77060 in words is "seventy-seven thousand, sixty".