77460 has 24 divisors (see below), whose sum is σ = 217056. Its totient is φ = 20640.

The previous prime is 77447. The next prime is 77471. The reversal of 77460 is 6477.

It is a self number, because there is not a number n which added to its sum of digits gives 77460.

It is a congruent number.

It is an unprimeable number.

77460 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 7 ways as a sum of consecutive naturals, for example, 586 + ... + 705.

It is an arithmetic number, because the mean of its divisors is an integer number (9044).

2⁷⁷⁴⁶⁰ is an apocalyptic number.

It is an amenable number.

77460 is an abundant number, since it is smaller than the sum of its proper divisors (139596).

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 (108528).

77460 is a wasteful number, since it uses less digits than its factorization.

77460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 77460 is about 278.3163667483. The cubic root of 77460 is about 42.6277585840.

The spelling of 77460 in words is "seventy-seven thousand, four hundred sixty".