7779416960 has 256 divisors, whose sum is σ = 22424463360. Its totient is φ = 2523045888.

The previous prime is 7779416947. The next prime is 7779416969. The reversal of 7779416960 is 696149777.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 7779416896 and 7779416905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7779416969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10612754 + ... + 10613486.

It is an arithmetic number, because the mean of its divisors is an integer number (87595560).

Almost surely, 2^7779416960 is an apocalyptic number.

7779416960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7779416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11212231680).

7779416960 is an abundant number, since it is smaller than the sum of its proper divisors (14645046400).

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

7779416960 is a wasteful number, since it uses less digits than its factorization.

7779416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 56.

The square root of 7779416960 is about 88201.0031688983. The cubic root of 7779416960 is about 1981.4464959707.

The spelling of 7779416960 in words is "seven billion, seven hundred seventy-nine million, four hundred sixteen thousand, nine hundred sixty".