7408666800 has 180 divisors, whose sum is σ = 25856012520. Its totient is φ = 1964436480.

The previous prime is 7408666787. The next prime is 7408666807. The reversal of 7408666800 is 86668047.

It is a happy number.

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

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

It is not an unprimeable number, because it can be changed into a prime (7408666807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 638652 + ... + 650148.

It is an arithmetic number, because the mean of its divisors is an integer number (143644514).

Almost surely, 2^7408666800 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 7408666800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12928006260).

7408666800 is an abundant number, since it is smaller than the sum of its proper divisors (18447345720).

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

7408666800 is a wasteful number, since it uses less digits than its factorization.

7408666800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11700 (or 11686 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 7408666800 is about 86073.6126812393. The cubic root of 7408666800 is about 1949.4556271367.

The spelling of 7408666800 in words is "seven billion, four hundred eight million, six hundred sixty-six thousand, eight hundred".