75416280 has 64 divisors (see below), whose sum is σ = 227577600. Its totient is φ = 19992960.

The previous prime is 75416279. The next prime is 75416293. The reversal of 75416280 is 8261457.

It is a congruent number.

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, 19725 + ... + 23235.

It is an arithmetic number, because the mean of its divisors is an integer number (3555900).

Almost surely, 2^75416280 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 75416280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113788800).

75416280 is an abundant number, since it is smaller than the sum of its proper divisors (152161320).

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

75416280 is a wasteful number, since it uses less digits than its factorization.

75416280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 75416280 is about 8684.2547175909. The cubic root of 75416280 is about 422.4951249977.

The spelling of 75416280 in words is "seventy-five million, four hundred sixteen thousand, two hundred eighty".