75619680 has 96 divisors (see below), whose sum is σ = 239518944. Its totient is φ = 20054016.

The previous prime is 75619679. The next prime is 75619681. The reversal of 75619680 is 8691657.

It is an interprime number because it is at equal distance from previous prime (75619679) and next prime (75619681).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75619681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123054 + ... + 123666.

It is an arithmetic number, because the mean of its divisors is an integer number (2494989).

Almost surely, 2^75619680 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 75619680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119759472).

75619680 is an abundant number, since it is smaller than the sum of its proper divisors (163899264).

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

75619680 is a wasteful number, since it uses less digits than its factorization.

75619680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 75619680 is about 8695.9576815898. The cubic root of 75619680 is about 422.8746114388.

The spelling of 75619680 in words is "seventy-five million, six hundred nineteen thousand, six hundred eighty".