76080 has 40 divisors (see below), whose sum is σ = 236592. Its totient is φ = 20224.

The previous prime is 76079. The next prime is 76081. The reversal of 76080 is 8067.

It is an interprime number because it is at equal distance from previous prime (76079) and next prime (76081).

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (76081) 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, 82 + ... + 398.

2⁷⁶⁰⁸⁰ 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 76080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118296).

76080 is an abundant number, since it is smaller than the sum of its proper divisors (160512).

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

76080 is a wasteful number, since it uses less digits than its factorization.

76080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 76080 is about 275.8260321289. The cubic root of 76080 is about 42.3730931696.

The spelling of 76080 in words is "seventy-six thousand, eighty".