7129540782 has 384 divisors, whose sum is σ = 21181095936. Its totient is φ = 1745960832.

The previous prime is 7129540741. The next prime is 7129540793. The reversal of 7129540782 is 2870459217.

It is a happy number.

7129540782 is a `hidden beast` number, since 7 + 1 + 29 + 540 + 7 + 82 = 666.

It is a congruent number.

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, 43739433 + ... + 43739595.

It is an arithmetic number, because the mean of its divisors is an integer number (55159104).

Almost surely, 2^7129540782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7129540782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10590547968).

7129540782 is an abundant number, since it is smaller than the sum of its proper divisors (14051555154).

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

7129540782 is a wasteful number, since it uses less digits than its factorization.

7129540782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 7129540782 is about 84436.6080678280. The cubic root of 7129540782 is about 1924.6592555482.

Adding to 7129540782 its reverse (2870459217), we get a palindrome (9999999999).

The spelling of 7129540782 in words is "seven billion, one hundred twenty-nine million, five hundred forty thousand, seven hundred eighty-two".