76011516 has 72 divisors (see below), whose sum is σ = 221719680. Its totient is φ = 21506976.

The previous prime is 76011511. The next prime is 76011517. The reversal of 76011516 is 61511067.

76011516 is a `hidden beast` number, since 7 + 601 + 1 + 51 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 76011516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76011511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25555 + ... + 28373.

It is an arithmetic number, because the mean of its divisors is an integer number (3079440).

Almost surely, 2^76011516 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 76011516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110859840).

76011516 is an abundant number, since it is smaller than the sum of its proper divisors (145708164).

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

76011516 is a wasteful number, since it uses less digits than its factorization.

76011516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 76011516 is about 8718.4583499607. The cubic root of 76011516 is about 423.6037519697.

The spelling of 76011516 in words is "seventy-six million, eleven thousand, five hundred sixteen".