76005216 has 240 divisors, whose sum is σ = 263450880. Its totient is φ = 21047040.

The previous prime is 76005197. The next prime is 76005217. The reversal of 76005216 is 61250067.

76005216 is a `hidden beast` number, since 7 + 600 + 52 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 76005216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76005217) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1070461 + ... + 1070531.

It is an arithmetic number, because the mean of its divisors is an integer number (1097712).

Almost surely, 2^76005216 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 76005216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131725440).

76005216 is an abundant number, since it is smaller than the sum of its proper divisors (187445664).

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

76005216 is a wasteful number, since it uses less digits than its factorization.

76005216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 76005216 is about 8718.0970400656. The cubic root of 76005216 is about 423.5920485792.

The spelling of 76005216 in words is "seventy-six million, five thousand, two hundred sixteen".