76408 has 8 divisors (see below), whose sum is σ = 143280. Its totient is φ = 38200.

The previous prime is 76403. The next prime is 76421. The reversal of 76408 is 80467.

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76403) by changing a digit.

76408 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 as a sum of consecutive naturals, namely, 4768 + ... + 4783.

It is an arithmetic number, because the mean of its divisors is an integer number (17910).

2⁷⁶⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

76408 is a deficient number, since it is larger than the sum of its proper divisors (66872).

76408 is a wasteful number, since it uses less digits than its factorization.

76408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9557 (or 9553 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 76408 is about 276.4199703350. The cubic root of 76408 is about 42.4338995538.

It can be divided in two parts, 76 and 408, that added together give a palindrome (484).

The spelling of 76408 in words is "seventy-six thousand, four hundred eight".