7616980800 has 1008 divisors, whose sum is σ = 33224248512. Its totient is φ = 1692057600.

The previous prime is 7616980793. The next prime is 7616980801. The reversal of 7616980800 is 80896167.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7616980801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55598332 + ... + 55598468.

It is an arithmetic number, because the mean of its divisors is an integer number (32960564).

Almost surely, 2^7616980800 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 7616980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16612124256).

7616980800 is an abundant number, since it is smaller than the sum of its proper divisors (25607267712).

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

7616980800 is a wasteful number, since it uses less digits than its factorization.

7616980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 7616980800 is about 87275.3160979667. The cubic root of 7616980800 is about 1967.5583482462.

The spelling of 7616980800 in words is "seven billion, six hundred sixteen million, nine hundred eighty thousand, eight hundred".