76301568 has 288 divisors, whose sum is σ = 274713600. Its totient is φ = 20404224.

The previous prime is 76301551. The next prime is 76301623. The reversal of 76301568 is 86510367.

76301568 is a `hidden beast` number, since 7 + 630 + 15 + 6 + 8 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919255 + ... + 919337.

Almost surely, 2^76301568 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 76301568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137356800).

76301568 is an abundant number, since it is smaller than the sum of its proper divisors (198412032).

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

76301568 is a wasteful number, since it uses less digits than its factorization.

76301568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

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

The square root of 76301568 is about 8735.0768743040. The cubic root of 76301568 is about 424.1418772859.

The spelling of 76301568 in words is "seventy-six million, three hundred one thousand, five hundred sixty-eight".