75010080 has 144 divisors (see below), whose sum is σ = 247387392. Its totient is φ = 19084800.

The previous prime is 75010057. The next prime is 75010087. The reversal of 75010080 is 8001057.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (75010087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1056445 + ... + 1056515.

It is an arithmetic number, because the mean of its divisors is an integer number (1717968).

Almost surely, 2^75010080 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 75010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123693696).

75010080 is an abundant number, since it is smaller than the sum of its proper divisors (172377312).

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

75010080 is a wasteful number, since it uses less digits than its factorization.

75010080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 75010080 is about 8660.8359873629. The cubic root of 75010080 is about 421.7352246962.

The spelling of 75010080 in words is "seventy-five million, ten thousand, eighty".