75489680 has 80 divisors (see below), whose sum is σ = 209343744. Its totient is φ = 24752640.

The previous prime is 75489671. The next prime is 75489691. The reversal of 75489680 is 8698457.

It is a tau number, because it is divible by the number of its divisors (80).

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, 9950 + ... + 15810.

Almost surely, 2^75489680 is an apocalyptic number.

75489680 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 75489680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104671872).

75489680 is an abundant number, since it is smaller than the sum of its proper divisors (133854064).

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

75489680 is a wasteful number, since it uses less digits than its factorization.

75489680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5904 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The square root of 75489680 is about 8688.4797289284. The cubic root of 75489680 is about 422.6321470789.

The spelling of 75489680 in words is "seventy-five million, four hundred eighty-nine thousand, six hundred eighty".