7779530880 has 384 divisors, whose sum is σ = 29500848000. Its totient is φ = 1873428480.

The previous prime is 7779530861. The next prime is 7779530881. The reversal of 7779530880 is 880359777.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×7779530880² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7779530881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12608332 + ... + 12608948.

It is an arithmetic number, because the mean of its divisors is an integer number (76825125).

Almost surely, 2^7779530880 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 7779530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14750424000).

7779530880 is an abundant number, since it is smaller than the sum of its proper divisors (21721317120).

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

7779530880 is a wasteful number, since it uses less digits than its factorization.

7779530880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The square root of 7779530880 is about 88201.6489641775. The cubic root of 7779530880 is about 1981.4561678731.

The spelling of 7779530880 in words is "seven billion, seven hundred seventy-nine million, five hundred thirty thousand, eight hundred eighty".