76053168 has 120 divisors (see below), whose sum is σ = 228207616. Its totient is φ = 24494400.

The previous prime is 76053161. The next prime is 76053217. The reversal of 76053168 is 86135067.

76053168 is a `hidden beast` number, since 7 + 60 + 531 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76053161) 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 23 ways as a sum of consecutive naturals, for example, 120213 + ... + 120843.

Almost surely, 2^76053168 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 76053168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114103808).

76053168 is an abundant number, since it is smaller than the sum of its proper divisors (152154448).

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

76053168 is a wasteful number, since it uses less digits than its factorization.

76053168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 76053168 is about 8720.8467478795. The cubic root of 76053168 is about 423.6811118339.

The spelling of 76053168 in words is "seventy-six million, fifty-three thousand, one hundred sixty-eight".