7824817764 has 81 divisors (see below), whose sum is σ = 20709071929. Its totient is φ = 2490977280.

The previous prime is 7824817753. The next prime is 7824817769. The reversal of 7824817764 is 4677184287.

The square root of 7824817764 is 88458.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7063057764 + 761760000 = 84042^2 + 27600^2 .

It is a super-2 number, since 2×7824817764² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7824817764.

It is not an unprimeable number, because it can be changed into a prime (7824817769) 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 26 ways as a sum of consecutive naturals, for example, 12206884 + ... + 12207524.

Almost surely, 2^7824817764 is an apocalyptic number.

7824817764 is the 88458-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7824817764

7824817764 is an abundant number, since it is smaller than the sum of its proper divisors (12884254165).

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

7824817764 is a wasteful number, since it uses less digits than its factorization.

7824817764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 669 counting only the distinct ones).

The product of its digits is 4214784, while the sum is 54.

The cubic root of 7824817764 is about 1985.2936063825.

The spelling of 7824817764 in words is "seven billion, eight hundred twenty-four million, eight hundred seventeen thousand, seven hundred sixty-four".