77406 has 32 divisors (see below), whose sum is σ = 188160. Its totient is φ = 20736.

The previous prime is 77383. The next prime is 77417. The reversal of 77406 is 60477.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750 + ... + 846.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

2⁷⁷⁴⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94080).

77406 is an abundant number, since it is smaller than the sum of its proper divisors (110754).

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

77406 is a wasteful number, since it uses less digits than its factorization.

77406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128.

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 77406 is about 278.2193379332. The cubic root of 77406 is about 42.6178505279.

The spelling of 77406 in words is "seventy-seven thousand, four hundred six".