77340 has 24 divisors (see below), whose sum is σ = 216720. Its totient is φ = 20608.

The previous prime is 77339. The next prime is 77347. The reversal of 77340 is 4377.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585 + ... + 704.

It is an arithmetic number, because the mean of its divisors is an integer number (9030).

2⁷⁷³⁴⁰ is an apocalyptic number.

It is an amenable number.

77340 is an abundant number, since it is smaller than the sum of its proper divisors (139380).

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 (108360).

77340 is a wasteful number, since it uses less digits than its factorization.

77340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 77340 is about 278.1007011857. The cubic root of 77340 is about 42.6057344217.

The spelling of 77340 in words is "seventy-seven thousand, three hundred forty", and thus it is an iban number.