76468608 has 96 divisors (see below), whose sum is σ = 225552600. Its totient is φ = 24852480.

The previous prime is 76468607. The next prime is 76468619. The reversal of 76468608 is 80686467.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76468607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46423 + ... + 48041.

Almost surely, 2^76468608 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 76468608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112776300).

76468608 is an abundant number, since it is smaller than the sum of its proper divisors (149083992).

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

76468608 is a wasteful number, since it uses less digits than its factorization.

76468608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 76468608 is about 8744.6330969344. The cubic root of 76468608 is about 424.4511632897.

The spelling of 76468608 in words is "seventy-six million, four hundred sixty-eight thousand, six hundred eight".