975744000 has 792 divisors, whose sum is σ = 4417000224. Its totient is φ = 202752000.

The previous prime is 975743959. The next prime is 975744023. The reversal of 975744000 is 447579.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88703995 + ... + 88704005.

Almost surely, 2^975744000 is an apocalyptic number.

975744000 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 975744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208500112).

975744000 is an abundant number, since it is smaller than the sum of its proper divisors (3441256224).

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

975744000 is a wasteful number, since it uses less digits than its factorization.

975744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 975744000 is about 31236.9012547660. The cubic root of 975744000 is about 991.8483986157.

The spelling of 975744000 in words is "nine hundred seventy-five million, seven hundred forty-four thousand".