7023780864 has 231 divisors, whose sum is σ = 21270686097. Its totient is φ = 2317123584.

The previous prime is 7023780823. The next prime is 7023780997. The reversal of 7023780864 is 4680873207.

It is a happy number.

The square root of 7023780864 is 83808.

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., 3153945600 + 3869835264 = 56160^2 + 62208^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 72410064 + ... + 72410160.

Almost surely, 2^7023780864 is an apocalyptic number.

7023780864 is the 83808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7023780864

7023780864 is an abundant number, since it is smaller than the sum of its proper divisors (14246905233).

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

7023780864 is an frugal number, since it uses more digits than its factorization.

7023780864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The cubic root of 7023780864 is about 1915.0949798256.

The spelling of 7023780864 in words is "seven billion, twenty-three million, seven hundred eighty thousand, eight hundred sixty-four".