77330 has 32 divisors (see below), whose sum is σ = 164160. Its totient is φ = 25920.

The previous prime is 77323. The next prime is 77339. The reversal of 77330 is 3377.

It is a nialpdrome in base 5, base 10 and base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77339) 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 15 ways as a sum of consecutive naturals, for example, 2072 + ... + 2108.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

2⁷⁷³³⁰ is an apocalyptic number.

77330 is an abundant number, since it is smaller than the sum of its proper divisors (86830).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82080).

77330 is a wasteful number, since it uses less digits than its factorization.

77330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74.

The product of its (nonzero) digits is 441, while the sum is 20.

The square root of 77330 is about 278.0827215057. The cubic root of 77330 is about 42.6038980468.

It can be divided in two parts, 7 and 7330, that added together give a palindrome (7337).

The spelling of 77330 in words is "seventy-seven thousand, three hundred thirty".