75979008 has 162 divisors, whose sum is σ = 255210774. Its totient is φ = 21676032.

The previous prime is 75979003. The next prime is 75979031. The reversal of 75979008 is 80097957.

It can be written as a sum of positive squares in only one way, i.e., 59721984 + 16257024 = 7728^2 + 4032^2 .

It is not an unprimeable number, because it can be changed into a prime (75979003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112560 + ... + 113232.

Almost surely, 2^75979008 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 75979008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127605387).

75979008 is an abundant number, since it is smaller than the sum of its proper divisors (179231766).

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

75979008 is a wasteful number, since it uses less digits than its factorization.

75979008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 75979008 is about 8716.5938301610. The cubic root of 75979008 is about 423.5433555322.

The spelling of 75979008 in words is "seventy-five million, nine hundred seventy-nine thousand, eight".