7845801490800 has 1200 divisors, whose sum is σ = 34964115278400. Its totient is φ = 1640658862080.

The previous prime is 7845801490753. The next prime is 7845801490837. The reversal of 7845801490800 is 80941085487.

7845801490800 is a `hidden beast` number, since 78 + 4 + 5 + 8 + 0 + 1 + 490 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 333157426 + ... + 333180974.

It is an arithmetic number, because the mean of its divisors is an integer number (29136762732).

Almost surely, 2^{7845801490800} is an apocalyptic number.

7845801490800 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 7845801490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17482057639200).

7845801490800 is an abundant number, since it is smaller than the sum of its proper divisors (27118313787600).

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

7845801490800 is a wasteful number, since it uses less digits than its factorization.

7845801490800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23712 (or 23692 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 7845801490800 in words is "seven trillion, eight hundred forty-five billion, eight hundred one million, four hundred ninety thousand, eight hundred".