76008618 has 80 divisors (see below), whose sum is σ = 196937664. Its totient is φ = 21461760.

The previous prime is 76008613. The next prime is 76008637. The reversal of 76008618 is 81680067.

It is not an unprimeable number, because it can be changed into a prime (76008613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109653 + ... + 110343.

Almost surely, 2^76008618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76008618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98468832).

76008618 is an abundant number, since it is smaller than the sum of its proper divisors (120929046).

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

76008618 is a wasteful number, since it uses less digits than its factorization.

76008618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 76008618 is about 8718.2921492687. The cubic root of 76008618 is about 423.5983684904.

The spelling of 76008618 in words is "seventy-six million, eight thousand, six hundred eighteen".