75659980 has 48 divisors (see below), whose sum is σ = 174021120. Its totient is φ = 27403200.

The previous prime is 75659977. The next prime is 75659981. The reversal of 75659980 is 8995657.

It is not an unprimeable number, because it can be changed into a prime (75659981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72301 + ... + 73339.

It is an arithmetic number, because the mean of its divisors is an integer number (3625440).

Almost surely, 2^75659980 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 75659980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87010560).

75659980 is an abundant number, since it is smaller than the sum of its proper divisors (98361140).

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

75659980 is a wasteful number, since it uses less digits than its factorization.

75659980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 49.

The square root of 75659980 is about 8698.2745415398. The cubic root of 75659980 is about 422.9497189609.

The spelling of 75659980 in words is "seventy-five million, six hundred fifty-nine thousand, nine hundred eighty".