76840 has 32 divisors (see below), whose sum is σ = 184680. Its totient is φ = 28672.

The previous prime is 76837. The next prime is 76847. The reversal of 76840 is 4867.

It can be written as a sum of positive squares in 4 ways, for example, as 49284 + 27556 = 222^2 + 166^2 .

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (76847) 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, 624 + ... + 736.

2⁷⁶⁸⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92340).

76840 is an abundant number, since it is smaller than the sum of its proper divisors (107840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76840 is a wasteful number, since it uses less digits than its factorization.

76840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 76840 is about 277.2002886001. The cubic root of 76840 is about 42.5137210599.

It can be divided in two parts, 768 and 40, that added together give a palindrome (808).

The spelling of 76840 in words is "seventy-six thousand, eight hundred forty".