7776645120 has 312 divisors, whose sum is σ = 27845730432. Its totient is φ = 2005401600.

The previous prime is 7776645113. The next prime is 7776645157. The reversal of 7776645120 is 215466777.

7776645120 is a `hidden beast` number, since 7 + 7 + 76 + 64 + 512 + 0 = 666.

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5713240 + ... + 5714600.

It is an arithmetic number, because the mean of its divisors is an integer number (89249136).

Almost surely, 2^7776645120 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 7776645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13922865216).

7776645120 is an abundant number, since it is smaller than the sum of its proper divisors (20069085312).

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

7776645120 is a wasteful number, since it uses less digits than its factorization.

7776645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 7776645120 is about 88185.2885690125. The cubic root of 7776645120 is about 1981.2111353553.

The spelling of 7776645120 in words is "seven billion, seven hundred seventy-six million, six hundred forty-five thousand, one hundred twenty".