77408 has 24 divisors (see below), whose sum is σ = 158760. Its totient is φ = 37120.

The previous prime is 77383. The next prime is 77417. The reversal of 77408 is 80477.

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 77408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1283 + ... + 1341.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

2⁷⁷⁴⁰⁸ 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 77408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79380).

77408 is an abundant number, since it is smaller than the sum of its proper divisors (81352).

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

77408 is a wasteful number, since it uses less digits than its factorization.

77408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 77408 is about 278.2229321965. Note that the first 3 decimals coincide. The cubic root of 77408 is about 42.6182175751.

The spelling of 77408 in words is "seventy-seven thousand, four hundred eight".