75982080 has 144 divisors (see below), whose sum is σ = 248419584. Its totient is φ = 19783680.

The previous prime is 75982079. The next prime is 75982139. The reversal of 75982080 is 8028957.

It is a super-2 number, since 2×75982080² = 11546552962252800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180270 + ... + 180690.

It is an arithmetic number, because the mean of its divisors is an integer number (1725136).

Almost surely, 2^75982080 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 75982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124209792).

75982080 is an abundant number, since it is smaller than the sum of its proper divisors (172437504).

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

75982080 is a wasteful number, since it uses less digits than its factorization.

75982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 75982080 is about 8716.7700440014. The cubic root of 75982080 is about 423.5490637214.

The spelling of 75982080 in words is "seventy-five million, nine hundred eighty-two thousand, eighty".