7776648000 has 560 divisors, whose sum is σ = 31413590208. Its totient is φ = 1883520000.

The previous prime is 7776647999. The next prime is 7776648031. The reversal of 7776648000 is 8466777.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7127455 + ... + 7128545.

Almost surely, 2^7776648000 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 7776648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15706795104).

7776648000 is an abundant number, since it is smaller than the sum of its proper divisors (23636942208).

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

7776648000 is a wasteful number, since it uses less digits than its factorization.

7776648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 7776648000 is about 88185.3048982652. The cubic root of 7776648000 is about 1981.2113799290.

The spelling of 7776648000 in words is "seven billion, seven hundred seventy-six million, six hundred forty-eight thousand".