7986826800 has 360 divisors, whose sum is σ = 29014142976. Its totient is φ = 2109784320.

The previous prime is 7986826789. The next prime is 7986826801. The reversal of 7986826800 is 86286897.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7986826801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12344077 + ... + 12344723.

Almost surely, 2^7986826800 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 7986826800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14507071488).

7986826800 is an abundant number, since it is smaller than the sum of its proper divisors (21027316176).

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

7986826800 is a wasteful number, since it uses less digits than its factorization.

7986826800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 7986826800 is about 89369.0483333016. The cubic root of 7986826800 is about 1998.9016302357.

The spelling of 7986826800 in words is "seven billion, nine hundred eighty-six million, eight hundred twenty-six thousand, eight hundred".