76640 has 24 divisors (see below), whose sum is σ = 181440. Its totient is φ = 30592.

The previous prime is 76631. The next prime is 76649. The reversal of 76640 is 4667.

It is an interprime number because it is at equal distance from previous prime (76631) and next prime (76649).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76649) 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, 80 + ... + 399.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁷⁶⁶⁴⁰ is an apocalyptic number.

It is an amenable number.

76640 is an abundant number, since it is smaller than the sum of its proper divisors (104800).

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 (90720).

76640 is a wasteful number, since it uses less digits than its factorization.

With its successor (76641) it forms an eRAP, since the sums of their prime factors are consecutive (494 and 495).

76640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 76640 is about 276.8393035680. The cubic root of 76640 is about 42.4768039511.

The spelling of 76640 in words is "seventy-six thousand, six hundred forty".