75640 has 32 divisors (see below), whose sum is σ = 178560. Its totient is φ = 28800.

The previous prime is 75629. The next prime is 75641. The reversal of 75640 is 4657.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75641) 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, 1210 + ... + 1270.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2⁷⁵⁶⁴⁰ 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 75640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

75640 is an abundant number, since it is smaller than the sum of its proper divisors (102920).

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

75640 is a wasteful number, since it uses less digits than its factorization.

75640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 75640 is about 275.0272713750. The cubic root of 75640 is about 42.2912485365.

The spelling of 75640 in words is "seventy-five thousand, six hundred forty".