79760 has 20 divisors (see below), whose sum is σ = 185628. Its totient is φ = 31872.

The previous prime is 79757. The next prime is 79769. The reversal of 79760 is 6797.

79760 = T₅₄ + T₅₅ + ... + T₈₅.

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 29584 = 224^2 + 172^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 79760.

It is not an unprimeable number, because it can be changed into a prime (79769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 419 + ... + 578.

2⁷⁹⁷⁶⁰ is an apocalyptic number.

It is an amenable number.

79760 is an abundant number, since it is smaller than the sum of its proper divisors (105868).

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 (92814).

79760 is a wasteful number, since it uses less digits than its factorization.

79760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 79760 is about 282.4181297297. The cubic root of 79760 is about 43.0455619462.

The spelling of 79760 in words is "seventy-nine thousand, seven hundred sixty".