77748 has 48 divisors (see below), whose sum is σ = 215040. Its totient is φ = 21600.

The previous prime is 77747. The next prime is 77761. The reversal of 77748 is 84777.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 77748.

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 15 ways as a sum of consecutive naturals, for example, 2493 + ... + 2523.

It is an arithmetic number, because the mean of its divisors is an integer number (4480).

2⁷⁷⁷⁴⁸ 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 77748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107520).

77748 is an abundant number, since it is smaller than the sum of its proper divisors (137292).

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

77748 is a wasteful number, since it uses less digits than its factorization.

77748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 66 counting only the distinct ones).

The product of its digits is 10976, while the sum is 33.

The square root of 77748 is about 278.8332835226. The cubic root of 77748 is about 42.6805239278.

The spelling of 77748 in words is "seventy-seven thousand, seven hundred forty-eight".