6813798400 has 78 divisors (see below), whose sum is σ = 16896411182. Its totient is φ = 2725478400.

The previous prime is 6813798359. The next prime is 6813798401. The reversal of 6813798400 is 48973186.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1387413504 + 5426384896 = 37248^2 + 73664^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6813798401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69130 + ... + 135670.

Almost surely, 2^6813798400 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 6813798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8448205591).

6813798400 is an abundant number, since it is smaller than the sum of its proper divisors (10082612782).

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

6813798400 is an equidigital number, since it uses as much as digits as its factorization.

6813798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66575 (or 66548 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 6813798400 is about 82545.7352017656. The cubic root of 6813798400 is about 1895.8170581973.

The spelling of 6813798400 in words is "six billion, eight hundred thirteen million, seven hundred ninety-eight thousand, four hundred".