75682880 has 224 divisors, whose sum is σ = 233501184. Its totient is φ = 22708224.

The previous prime is 75682879. The next prime is 75682891. The reversal of 75682880 is 8828657.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669704 + ... + 669816.

It is an arithmetic number, because the mean of its divisors is an integer number (1042416).

Almost surely, 2^75682880 is an apocalyptic number.

75682880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116750592).

75682880 is an abundant number, since it is smaller than the sum of its proper divisors (157818304).

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

75682880 is a wasteful number, since it uses less digits than its factorization.

75682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The square root of 75682880 is about 8699.5907949742. The cubic root of 75682880 is about 422.9923860422.

The spelling of 75682880 in words is "seventy-five million, six hundred eighty-two thousand, eight hundred eighty".