76240 has 20 divisors (see below), whose sum is σ = 177444. Its totient is φ = 30464.

The previous prime is 76231. The next prime is 76243. The reversal of 76240 is 4267.

76240 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 2 ways, for example, as 29584 + 46656 = 172^2 + 216^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76243) 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 3 ways as a sum of consecutive naturals, for example, 397 + ... + 556.

2⁷⁶²⁴⁰ is an apocalyptic number.

It is an amenable number.

76240 is an abundant number, since it is smaller than the sum of its proper divisors (101204).

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 (88722).

76240 is a wasteful number, since it uses less digits than its factorization.

76240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 76240 is about 276.1159176868. The cubic root of 76240 is about 42.4027766071.

The spelling of 76240 in words is "seventy-six thousand, two hundred forty".