7869994780200 has 384 divisors, whose sum is σ = 28617470864640. Its totient is φ = 1751592960000.

The previous prime is 7869994780187. The next prime is 7869994780213. The reversal of 7869994780200 is 20874999687.

It is an interprime number because it is at equal distance from previous prime (7869994780187) and next prime (7869994780213).

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 95 ways as a sum of consecutive naturals, for example, 89672340 + ... + 89760060.

It is an arithmetic number, because the mean of its divisors is an integer number (74524663710).

Almost surely, 2^{7869994780200} is an apocalyptic number.

7869994780200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7869994780200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14308735432320).

7869994780200 is an abundant number, since it is smaller than the sum of its proper divisors (20747476084440).

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

7869994780200 is a wasteful number, since it uses less digits than its factorization.

7869994780200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88309 (or 88300 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 69.

The spelling of 7869994780200 in words is "seven trillion, eight hundred sixty-nine billion, nine hundred ninety-four million, seven hundred eighty thousand, two hundred".