7828793856000 has 1560 divisors, whose sum is σ = 31632956773704. Its totient is φ = 1925362483200.

The previous prime is 7828793855989. The next prime is 7828793856011. The reversal of 7828793856000 is 6583978287.

It is an interprime number because it is at equal distance from previous prime (7828793855989) and next prime (7828793856011).

It can be written as a sum of positive squares in 12 ways, for example, as 7743174414336 + 85619441664 = 2782656^2 + 292608^2 .

It is a tau number, because it is divible by the number of its divisors (1560).

It is a super-2 number, since 2×7828793856000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7008767442 + ... + 7008768558.

Almost surely, 2^{7828793856000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7828793856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15816478386852).

7828793856000 is an abundant number, since it is smaller than the sum of its proper divisors (23804162917704).

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

7828793856000 is a wasteful number, since it uses less digits than its factorization.

7828793856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 7828793856000 in words is "seven trillion, eight hundred twenty-eight billion, seven hundred ninety-three million, eight hundred fifty-six thousand".