975801120 has 192 divisors, whose sum is σ = 3556224000. Its totient is φ = 220290048.

The previous prime is 975801103. The next prime is 975801121. The reversal of 975801120 is 21108579.

It is not an unprimeable number, because it can be changed into a prime (975801121) 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, 277131 + ... + 280629.

It is an arithmetic number, because the mean of its divisors is an integer number (18522000).

Almost surely, 2^975801120 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 975801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778112000).

975801120 is an abundant number, since it is smaller than the sum of its proper divisors (2580422880).

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

975801120 is a wasteful number, since it uses less digits than its factorization.

975801120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3607 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 975801120 is about 31237.8155446248. The cubic root of 975801120 is about 991.8677524883.

Adding to 975801120 its reverse (21108579), we get a palindrome (996909699).

The spelling of 975801120 in words is "nine hundred seventy-five million, eight hundred one thousand, one hundred twenty".