975243780 has 384 divisors, whose sum is σ = 3758899200. Its totient is φ = 204913152.

The previous prime is 975243757. The next prime is 975243781. The reversal of 975243780 is 87342579.

975243780 is a `hidden beast` number, since 97 + 52 + 437 + 80 = 666.

It is a super-2 number, since 2×975243780² = 1902200860857376800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (975243781) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2657157 + ... + 2657523.

It is an arithmetic number, because the mean of its divisors is an integer number (9788800).

Almost surely, 2^975243780 is an apocalyptic number.

975243780 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 975243780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879449600).

975243780 is an abundant number, since it is smaller than the sum of its proper divisors (2783655420).

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

975243780 is a wasteful number, since it uses less digits than its factorization.

975243780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

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

The square root of 975243780 is about 31228.8933521507. The cubic root of 975243780 is about 991.6788776439.

The spelling of 975243780 in words is "nine hundred seventy-five million, two hundred forty-three thousand, seven hundred eighty".