7782709872 has 320 divisors, whose sum is σ = 24418437120. Its totient is φ = 2090188800.

The previous prime is 7782709861. The next prime is 7782709873. The reversal of 7782709872 is 2789072877.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7782709873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71400954 + ... + 71401062.

It is an arithmetic number, because the mean of its divisors is an integer number (76307616).

Almost surely, 2^7782709872 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 7782709872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12209218560).

7782709872 is an abundant number, since it is smaller than the sum of its proper divisors (16635727248).

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

7782709872 is a wasteful number, since it uses less digits than its factorization.

7782709872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 57.

The square root of 7782709872 is about 88219.6682832122. The cubic root of 7782709872 is about 1981.7260288538.

The spelling of 7782709872 in words is "seven billion, seven hundred eighty-two million, seven hundred nine thousand, eight hundred seventy-two".