75718880 has 48 divisors (see below), whose sum is σ = 182710080. Its totient is φ = 29640192.

The previous prime is 75718861. The next prime is 75718897. The reversal of 75718880 is 8881757.

It is a super-3 number, since 3×75718880³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2486 + ... + 12554.

It is an arithmetic number, because the mean of its divisors is an integer number (3806460).

Almost surely, 2^75718880 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 75718880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91355040).

75718880 is an abundant number, since it is smaller than the sum of its proper divisors (106991200).

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

75718880 is a wasteful number, since it uses less digits than its factorization.

75718880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10131 (or 10123 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 44.

The square root of 75718880 is about 8701.6596118212. The cubic root of 75718880 is about 423.0594435330.

The spelling of 75718880 in words is "seventy-five million, seven hundred eighteen thousand, eight hundred eighty".