975723840 has 896 divisors, whose sum is σ = 4547128320. Its totient is φ = 191102976.

The previous prime is 975723839. The next prime is 975723869. The reversal of 975723840 is 48327579.

975723840 is a `hidden beast` number, since 9 + 7 + 572 + 38 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13366044 + ... + 13366116.

It is an arithmetic number, because the mean of its divisors is an integer number (5074920).

Almost surely, 2^975723840 is an apocalyptic number.

975723840 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 975723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273564160).

975723840 is an abundant number, since it is smaller than the sum of its proper divisors (3571404480).

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

975723840 is a wasteful number, since it uses less digits than its factorization.

975723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 975723840 is about 31236.5785578382. The cubic root of 975723840 is about 991.8415676568.

The spelling of 975723840 in words is "nine hundred seventy-five million, seven hundred twenty-three thousand, eight hundred forty".