75628280 has 128 divisors (see below), whose sum is σ = 212889600. Its totient is φ = 23542272.

The previous prime is 75628279. The next prime is 75628283. The reversal of 75628280 is 8282657.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75628283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287429 + ... + 287691.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 2^75628280 is an apocalyptic number.

75628280 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 75628280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106444800).

75628280 is an abundant number, since it is smaller than the sum of its proper divisors (137261320).

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

75628280 is a wasteful number, since it uses less digits than its factorization.

75628280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 75628280 is about 8696.4521501587. The cubic root of 75628280 is about 422.8906415860.

The spelling of 75628280 in words is "seventy-five million, six hundred twenty-eight thousand, two hundred eighty".