7800700800 has 192 divisors, whose sum is σ = 27046483200. Its totient is φ = 1970657280.

The previous prime is 7800700799. The next prime is 7800700823. The reversal of 7800700800 is 80070087.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×7800700800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 161017 + ... + 203783.

It is an arithmetic number, because the mean of its divisors is an integer number (140867100).

Almost surely, 2^7800700800 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 7800700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13523241600).

7800700800 is an abundant number, since it is smaller than the sum of its proper divisors (19245782400).

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

7800700800 is a wasteful number, since it uses less digits than its factorization.

7800700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42813 (or 42796 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 7800700800 is about 88321.5760728940. The cubic root of 7800700800 is about 1983.2518749744.

Adding to 7800700800 its reverse (80070087), we get a palindrome (7880770887).

The spelling of 7800700800 in words is "seven billion, eight hundred million, seven hundred thousand, eight hundred".