77730 has 16 divisors (see below), whose sum is σ = 186624. Its totient is φ = 20720.

The previous prime is 77723. The next prime is 77731. The reversal of 77730 is 3777.

It is a Curzon number.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 77730.

It is not an unprimeable number, because it can be changed into a prime (77731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1266 + ... + 1325.

It is an arithmetic number, because the mean of its divisors is an integer number (11664).

2⁷⁷⁷³⁰ is an apocalyptic number.

77730 is an abundant number, since it is smaller than the sum of its proper divisors (108894).

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 (93312).

77730 is a wasteful number, since it uses less digits than its factorization.

77730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601.

The product of its (nonzero) digits is 1029, while the sum is 24.

The square root of 77730 is about 278.8010043024. The cubic root of 77730 is about 42.6772299150.

The spelling of 77730 in words is "seventy-seven thousand, seven hundred thirty".