7989754500 has 576 divisors, whose sum is σ = 31481049600. Its totient is φ = 1660953600.

The previous prime is 7989754499. The next prime is 7989754511. The reversal of 7989754500 is 54579897.

7989754500 is a `hidden beast` number, since 7 + 9 + 8 + 97 + 545 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44635411 + ... + 44635589.

It is an arithmetic number, because the mean of its divisors is an integer number (54654600).

Almost surely, 2^7989754500 is an apocalyptic number.

7989754500 is a gapful number since it is divisible by the number (70) 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 7989754500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15740524800).

7989754500 is an abundant number, since it is smaller than the sum of its proper divisors (23491295100).

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

7989754500 is a wasteful number, since it uses less digits than its factorization.

7989754500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 7989754500 is about 89385.4266645296. The cubic root of 7989754500 is about 1999.1458435937.

The spelling of 7989754500 in words is "seven billion, nine hundred eighty-nine million, seven hundred fifty-four thousand, five hundred".