7869808800 has 1152 divisors, whose sum is σ = 35517726720. Its totient is φ = 1642291200.

The previous prime is 7869808783. The next prime is 7869808871. The reversal of 7869808800 is 88089687.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107805564 + ... + 107805636.

It is an arithmetic number, because the mean of its divisors is an integer number (30831360).

Almost surely, 2^7869808800 is an apocalyptic number.

7869808800 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 7869808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17758863360).

7869808800 is an abundant number, since it is smaller than the sum of its proper divisors (27647917920).

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

7869808800 is a wasteful number, since it uses less digits than its factorization.

7869808800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 7869808800 is about 88711.9428262058. The cubic root of 7869808800 is about 1989.0913421012.

The spelling of 7869808800 in words is "seven billion, eight hundred sixty-nine million, eight hundred eight thousand, eight hundred".