79770 has 16 divisors (see below), whose sum is σ = 191520. Its totient is φ = 21264.

The previous prime is 79769. The next prime is 79777. The reversal of 79770 is 7797.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 2659 = 79770 / (7 + 9 + 7 + 7 + 0).

It is a Curzon number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (79777) 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, 1300 + ... + 1359.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2⁷⁹⁷⁷⁰ is an apocalyptic number.

79770 is an abundant number, since it is smaller than the sum of its proper divisors (111750).

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 (95760).

79770 is a wasteful number, since it uses less digits than its factorization.

79770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669.

The product of its (nonzero) digits is 3087, while the sum is 30.

The square root of 79770 is about 282.4358334206. The cubic root of 79770 is about 43.0473608330.

Adding to 79770 its sum of digits (30), we get a triangular number (79800 = T₃₉₉).

The spelling of 79770 in words is "seventy-nine thousand, seven hundred seventy".