76312080 has 240 divisors, whose sum is σ = 285981696. Its totient is φ = 18109440.

The previous prime is 76312043. The next prime is 76312081. The reversal of 76312080 is 8021367.

76312080 is a `hidden beast` number, since 7 + 631 + 20 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×76312080³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (76312081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290029 + ... + 290291.

Almost surely, 2^76312080 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 76312080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142990848).

76312080 is an abundant number, since it is smaller than the sum of its proper divisors (209669616).

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

76312080 is a wasteful number, since it uses less digits than its factorization.

76312080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 76312080 is about 8735.6785655151. The cubic root of 76312080 is about 424.1613542761.

The spelling of 76312080 in words is "seventy-six million, three hundred twelve thousand, eighty".