7890593360400 has 135 divisors (see below), whose sum is σ = 27383135689351. Its totient is φ = 2104113285120.

The previous prime is 7890593360393. The next prime is 7890593360401. The reversal of 7890593360400 is 40633950987.

The square root of 7890593360400 is 2809020.

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

7890593360400 is a `hidden beast` number, since 7 + 8 + 9 + 0 + 593 + 3 + 6 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112920193296 + 7777673167104 = 336036^2 + 2788848^2 .

It is a super-2 number, since 2×7890593360400² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7890593360401) 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, 168517792 + ... + 168564608.

Almost surely, 2^{7890593360400} is an apocalyptic number.

7890593360400 is the 2809020-th square number.

It is an amenable number.

7890593360400 is an abundant number, since it is smaller than the sum of its proper divisors (19492542328951).

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

7890593360400 is an frugal number, since it uses more digits than its factorization.

7890593360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93658 (or 46827 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 7890593360400 in words is "seven trillion, eight hundred ninety billion, five hundred ninety-three million, three hundred sixty thousand, four hundred".