975828480 has 160 divisors (see below), whose sum is σ = 3403496448. Its totient is φ = 236544000.

The previous prime is 975828463. The next prime is 975828487. The reversal of 975828480 is 84828579.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×975828480² = 1904482444758220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975828487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78705 + ... + 90255.

Almost surely, 2^975828480 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 975828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701748224).

975828480 is an abundant number, since it is smaller than the sum of its proper divisors (2427667968).

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

975828480 is a wasteful number, since it uses less digits than its factorization.

975828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11588 (or 11572 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The square root of 975828480 is about 31238.2534723054. The cubic root of 975828480 is about 991.8770225631.

The spelling of 975828480 in words is "nine hundred seventy-five million, eight hundred twenty-eight thousand, four hundred eighty".