76187568 has 80 divisors (see below), whose sum is σ = 209014400. Its totient is φ = 23846400.

The previous prime is 76187563. The next prime is 76187593. The reversal of 76187568 is 86578167.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (76187561) 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 15 ways as a sum of consecutive naturals, for example, 126468 + ... + 127068.

It is an arithmetic number, because the mean of its divisors is an integer number (2612680).

Almost surely, 2^76187568 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 76187568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104507200).

76187568 is an abundant number, since it is smaller than the sum of its proper divisors (132826832).

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

76187568 is a wasteful number, since it uses less digits than its factorization.

76187568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 764 counting only the distinct ones).

The product of its digits is 564480, while the sum is 48.

The square root of 76187568 is about 8728.5490203126. The cubic root of 76187568 is about 423.9305392325.

The spelling of 76187568 in words is "seventy-six million, one hundred eighty-seven thousand, five hundred sixty-eight".