7975110000 has 600 divisors, whose sum is σ = 30654999760. Its totient is φ = 1784640000.

The previous prime is 7975109983. The next prime is 7975110001. The reversal of 7975110000 is 115797.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 7975110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7975110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 613469994 + ... + 613470006.

Almost surely, 2^7975110000 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 7975110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15327499880).

7975110000 is an abundant number, since it is smaller than the sum of its proper divisors (22679889760).

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

7975110000 is a wasteful number, since it uses less digits than its factorization.

7975110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 30.

The square root of 7975110000 is about 89303.4713770971. The cubic root of 7975110000 is about 1997.9236785238.

Adding to 7975110000 its reverse (115797), we get a palindrome (7975225797).

The spelling of 7975110000 in words is "seven billion, nine hundred seventy-five million, one hundred ten thousand".