75680000 has 180 divisors, whose sum is σ = 210720048. Its totient is φ = 26880000.

The previous prime is 75679997. The next prime is 75680009. The reversal of 75680000 is 8657.

It is not an unprimeable number, because it can be changed into a prime (75680009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1759979 + ... + 1760021.

Almost surely, 2^75680000 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 75680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105360024).

75680000 is an abundant number, since it is smaller than the sum of its proper divisors (135040048).

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

75680000 is an equidigital number, since it uses as much as digits as its factorization.

75680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 75680000 is about 8699.4252683726. The cubic root of 75680000 is about 422.9870205244.

Adding to 75680000 its reverse (8657), we get a palindrome (75688657).

The spelling of 75680000 in words is "seventy-five million, six hundred eighty thousand".