675305280 has 336 divisors, whose sum is σ = 2651083344. Its totient is φ = 156303360.

The previous prime is 675305203. The next prime is 675305299. The reversal of 675305280 is 82503576.

675305280 is a `hidden beast` number, since 6 + 75 + 305 + 280 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 968256 + 674337024 = 984^2 + 25968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635950 + ... + 637010.

It is an arithmetic number, because the mean of its divisors is an integer number (7890129).

Almost surely, 2^675305280 is an apocalyptic number.

675305280 is a gapful number since it is divisible by the number (60) 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 675305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325541672).

675305280 is an abundant number, since it is smaller than the sum of its proper divisors (1975778064).

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

675305280 is a wasteful number, since it uses less digits than its factorization.

675305280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 675305280 is about 25986.6365657428. The cubic root of 675305280 is about 877.3375451080.

The spelling of 675305280 in words is "six hundred seventy-five million, three hundred five thousand, two hundred eighty".