7840800000 has 810 divisors, whose sum is σ = 32121080838. Its totient is φ = 1900800000.

The previous prime is 7840799999. The next prime is 7840800017. The reversal of 7840800000 is 80487.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 3623076864 + 4217723136 = 60192^2 + 64944^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is a super-2 number, since 2×7840800000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 712799995 + ... + 712800005.

Almost surely, 2^7840800000 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 7840800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16060540419).

7840800000 is an abundant number, since it is smaller than the sum of its proper divisors (24280280838).

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

7840800000 is an frugal number, since it uses more digits than its factorization.

7840800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 7840800000 is about 88548.2919089917. The cubic root of 7840800000 is about 1986.6443450990.

Adding to 7840800000 its reverse (80487), we get a palindrome (7840880487).

The spelling of 7840800000 in words is "seven billion, eight hundred forty million, eight hundred thousand".