77740 has 36 divisors (see below), whose sum is σ = 184464. Its totient is φ = 27456.

The previous prime is 77731. The next prime is 77743. The reversal of 77740 is 4777.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (77743) 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, 3369 + ... + 3391.

It is an arithmetic number, because the mean of its divisors is an integer number (5124).

2⁷⁷⁷⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92232).

77740 is an abundant number, since it is smaller than the sum of its proper divisors (106724).

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

77740 is a wasteful number, since it uses less digits than its factorization.

77740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 25.

The square root of 77740 is about 278.8189376639. The cubic root of 77740 is about 42.6790599849.

The spelling of 77740 in words is "seventy-seven thousand, seven hundred forty", and thus it is an iban number.