75019980 has 288 divisors, whose sum is σ = 275788800. Its totient is φ = 15095808.

The previous prime is 75019957. The next prime is 75019981. The reversal of 75019980 is 8991057.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (75019981) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 949581 + ... + 949659.

It is an arithmetic number, because the mean of its divisors is an integer number (957600).

Almost surely, 2^75019980 is an apocalyptic number.

75019980 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 75019980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

75019980 is an abundant number, since it is smaller than the sum of its proper divisors (200768820).

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

75019980 is a wasteful number, since it uses less digits than its factorization.

75019980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 39.

The square root of 75019980 is about 8661.4075068663. The cubic root of 75019980 is about 421.7537777363.

The spelling of 75019980 in words is "seventy-five million, nineteen thousand, nine hundred eighty".