675801000 has 384 divisors, whose sum is σ = 2768463360. Its totient is φ = 145152000.

The previous prime is 675800989. The next prime is 675801011. The reversal of 675801000 is 108576.

675801000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (675800989) and next prime (675801011).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1070685 + ... + 1071315.

It is an arithmetic number, because the mean of its divisors is an integer number (7209540).

Almost surely, 2^675801000 is an apocalyptic number.

675801000 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 675801000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384231680).

675801000 is an abundant number, since it is smaller than the sum of its proper divisors (2092662360).

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

675801000 is a wasteful number, since it uses less digits than its factorization.

675801000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 675801000 is about 25996.1727952405. The cubic root of 675801000 is about 877.5521677413.

Adding to 675801000 its reverse (108576), we get a palindrome (675909576).

The spelling of 675801000 in words is "six hundred seventy-five million, eight hundred one thousand".