76085856 has 288 divisors, whose sum is σ = 279272448. Its totient is φ = 19077120.

The previous prime is 76085837. The next prime is 76085857. The reversal of 76085856 is 65858067.

76085856 is a `hidden beast` number, since 7 + 60 + 8 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76085857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1042236 + ... + 1042308.

It is an arithmetic number, because the mean of its divisors is an integer number (969696).

Almost surely, 2^76085856 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 76085856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139636224).

76085856 is an abundant number, since it is smaller than the sum of its proper divisors (203186592).

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

76085856 is a wasteful number, since it uses less digits than its factorization.

76085856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 76085856 is about 8722.7206764862. The cubic root of 76085856 is about 423.7418031672.

The spelling of 76085856 in words is "seventy-six million, eighty-five thousand, eight hundred fifty-six".