7823936236900 has 243 divisors, whose sum is σ = 20423338094187. Its totient is φ = 2593946476800.

The previous prime is 7823936236861. The next prime is 7823936236937. The reversal of 7823936236900 is 96326393287.

The square root of 7823936236900 is 2797130.

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

It can be written as a sum of positive squares in 4 ways, for example, as 291019249444 + 7532916987456 = 539462^2 + 2744616^2 .

It is a super-2 number, since 2×7823936236900² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6069771456 + ... + 6069772744.

Almost surely, 2^{7823936236900} is an apocalyptic number.

7823936236900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7823936236900 is the 2797130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7823936236900

7823936236900 is an abundant number, since it is smaller than the sum of its proper divisors (12599401857287).

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

7823936236900 is a wasteful number, since it uses less digits than its factorization.

7823936236900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 58.

The spelling of 7823936236900 in words is "seven trillion, eight hundred twenty-three billion, nine hundred thirty-six million, two hundred thirty-six thousand, nine hundred".