77346 has 12 divisors (see below), whose sum is σ = 167622. Its totient is φ = 25776.

The previous prime is 77339. The next prime is 77347. The reversal of 77346 is 64377.

It can be written as a sum of positive squares in only one way, i.e., 65025 + 12321 = 255^2 + 111^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (77347) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2131 + ... + 2166.

2⁷⁷³⁴⁶ is an apocalyptic number.

77346 is an abundant number, since it is smaller than the sum of its proper divisors (90276).

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

77346 is a wasteful number, since it uses less digits than its factorization.

77346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305 (or 4302 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 77346 is about 278.1114884358. Note that the first 3 decimals coincide. The cubic root of 77346 is about 42.6068361707.

The spelling of 77346 in words is "seventy-seven thousand, three hundred forty-six".