7845206400 has 768 divisors, whose sum is σ = 31114080000. Its totient is φ = 1948354560.

The previous prime is 7845206357. The next prime is 7845206407. The reversal of 7845206400 is 46025487.

7845206400 is a `hidden beast` number, since 7 + 8 + 4 + 5 + 2 + 0 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7845206407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132969571 + ... + 132969629.

It is an arithmetic number, because the mean of its divisors is an integer number (40513125).

Almost surely, 2^7845206400 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 7845206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15557040000).

7845206400 is an abundant number, since it is smaller than the sum of its proper divisors (23268873600).

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

7845206400 is an equidigital number, since it uses as much as digits as its factorization.

7845206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 7845206400 is about 88573.1697524708. The cubic root of 7845206400 is about 1987.0164291676.

The spelling of 7845206400 in words is "seven billion, eight hundred forty-five million, two hundred six thousand, four hundred".