975330720 has 480 divisors, whose sum is σ = 4241559168. Its totient is φ = 205535232.

The previous prime is 975330703. The next prime is 975330731. The reversal of 975330720 is 27033579.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1178947 + ... + 1179773.

Almost surely, 2^975330720 is an apocalyptic number.

975330720 is a gapful number since it is divisible by the number (90) 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 975330720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120779584).

975330720 is an abundant number, since it is smaller than the sum of its proper divisors (3266228448).

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

975330720 is a wasteful number, since it uses less digits than its factorization.

975330720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 975330720 is about 31230.2853012905. The cubic root of 975330720 is about 991.7083451478.

The spelling of 975330720 in words is "nine hundred seventy-five million, three hundred thirty thousand, seven hundred twenty".