75680280 has 192 divisors, whose sum is σ = 269156160. Its totient is φ = 18330624.

The previous prime is 75680279. The next prime is 75680291. The reversal of 75680280 is 8208657.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481962 + ... + 482118.

It is an arithmetic number, because the mean of its divisors is an integer number (1401855).

Almost surely, 2^75680280 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 75680280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134578080).

75680280 is an abundant number, since it is smaller than the sum of its proper divisors (193475880).

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

75680280 is a wasteful number, since it uses less digits than its factorization.

75680280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 75680280 is about 8699.4413613749. The cubic root of 75680280 is about 422.9875421779.

The spelling of 75680280 in words is "seventy-five million, six hundred eighty thousand, two hundred eighty".