7801088400000 has 1536 divisors, whose sum is σ = 34626783744000. Its totient is φ = 1688947200000.

The previous prime is 7801088399947. The next prime is 7801088400037. The reversal of 7801088400000 is 48801087.

It is a super-2 number, since 2×7801088400000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 1436397285 + ... + 1436402715.

It is an arithmetic number, because the mean of its divisors is an integer number (22543479000).

Almost surely, 2^{7801088400000} is an apocalyptic number.

7801088400000 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 7801088400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17313391872000).

7801088400000 is an abundant number, since it is smaller than the sum of its proper divisors (26825695344000).

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

7801088400000 is an equidigital number, since it uses as much as digits as its factorization.

7801088400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 7801088400000 in words is "seven trillion, eight hundred one billion, eighty-eight million, four hundred thousand".