76147008 has 112 divisors (see below), whose sum is σ = 234817920. Its totient is φ = 21325824.

The previous prime is 76146989. The next prime is 76147009. The reversal of 76147008 is 80074167.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 76147008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76147009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70698 + ... + 71766.

Almost surely, 2^76147008 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 76147008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117408960).

76147008 is an abundant number, since it is smaller than the sum of its proper divisors (158670912).

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

76147008 is a wasteful number, since it uses less digits than its factorization.

76147008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 76147008 is about 8726.2253007815. The cubic root of 76147008 is about 423.8552965329.

The spelling of 76147008 in words is "seventy-six million, one hundred forty-seven thousand, eight".