7662783828 has 144 divisors (see below), whose sum is σ = 21936821760. Its totient is φ = 2038506048.

The previous prime is 7662783773. The next prime is 7662783829. The reversal of 7662783828 is 8283872667.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7662783829) 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 47 ways as a sum of consecutive naturals, for example, 1786975 + ... + 1791257.

It is an arithmetic number, because the mean of its divisors is an integer number (152339040).

Almost surely, 2^7662783828 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 7662783828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10968410880).

7662783828 is an abundant number, since it is smaller than the sum of its proper divisors (14274037932).

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

7662783828 is a wasteful number, since it uses less digits than its factorization.

7662783828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4394 (or 4373 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 57.

The square root of 7662783828 is about 87537.3281977466. The cubic root of 7662783828 is about 1971.4942949763.

The spelling of 7662783828 in words is "seven billion, six hundred sixty-two million, seven hundred eighty-three thousand, eight hundred twenty-eight".