76140 has 60 divisors (see below), whose sum is σ = 243936. Its totient is φ = 19872.

The previous prime is 76129. The next prime is 76147. The reversal of 76140 is 4167.

76140 = 4³ + 5³ + ... + 23³.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (76147) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1597 + ... + 1643.

2⁷⁶¹⁴⁰ 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 76140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121968).

76140 is an abundant number, since it is smaller than the sum of its proper divisors (167796).

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

76140 is a wasteful number, since it uses less digits than its factorization.

76140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 76140 is about 275.9347749016. The cubic root of 76140 is about 42.3842293312.

It can be divided in two parts, 76 and 140, that added together give a cube (216 = 6³).

The spelling of 76140 in words is "seventy-six thousand, one hundred forty".