7994206800 has 180 divisors, whose sum is σ = 27866136220. Its totient is φ = 2122260480.

The previous prime is 7994206771. The next prime is 7994206849. The reversal of 7994206800 is 86024997.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 70358544 + 7923848256 = 8388^2 + 89016^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×7994206800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 819552 + ... + 829248.

Almost surely, 2^7994206800 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 7994206800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13933068110).

7994206800 is an abundant number, since it is smaller than the sum of its proper divisors (19871929420).

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

7994206800 is a wasteful number, since it uses less digits than its factorization.

7994206800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9950 (or 9936 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7994206800 is about 89410.3282624552. The cubic root of 7994206800 is about 1999.5171167546.

The spelling of 7994206800 in words is "seven billion, nine hundred ninety-four million, two hundred six thousand, eight hundred".