76520 has 16 divisors (see below), whose sum is σ = 172260. Its totient is φ = 30592.

The previous prime is 76519. The next prime is 76537. The reversal of 76520 is 2567.

It can be written as a sum of positive squares in 2 ways, for example, as 75076 + 1444 = 274^2 + 38^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 76492 and 76501.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76520.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 917 + ... + 996.

2⁷⁶⁵²⁰ is an apocalyptic number.

It is an amenable number.

76520 is an abundant number, since it is smaller than the sum of its proper divisors (95740).

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 (86130).

76520 is a wasteful number, since it uses less digits than its factorization.

76520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 76520 is about 276.6224864323. The cubic root of 76520 is about 42.4546228484.

The spelling of 76520 in words is "seventy-six thousand, five hundred twenty".