7783899121296 has 405 divisors, whose sum is σ = 23122890307881. Its totient is φ = 2538286927488.

The previous prime is 7783899121237. The next prime is 7783899121303. The reversal of 7783899121296 is 6921219983877.

The square root of 7783899121296 is 2789964.

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

7783899121296 is a `hidden beast` number, since 7 + 78 + 389 + 91 + 2 + 1 + 2 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5425340343696 + 2358558777600 = 2329236^2 + 1535760^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 71411918490 + ... + 71411918598.

Almost surely, 2^{7783899121296} is an apocalyptic number.

7783899121296 is the 2789964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7783899121296

7783899121296 is an abundant number, since it is smaller than the sum of its proper divisors (15338991186585).

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

7783899121296 is an frugal number, since it uses more digits than its factorization.

7783899121296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 193 counting only the distinct ones).

The product of its digits is 164602368, while the sum is 72.

The spelling of 7783899121296 in words is "seven trillion, seven hundred eighty-three billion, eight hundred ninety-nine million, one hundred twenty-one thousand, two hundred ninety-six".