7779058560 has 1280 divisors, whose sum is σ = 36575763840. Its totient is φ = 1528823808.

The previous prime is 7779058549. The next prime is 7779058583. The reversal of 7779058560 is 658509777.

7779058560 is a `hidden beast` number, since 7 + 7 + 79 + 0 + 5 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7779058497 and 7779058506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80196432 + ... + 80196528.

Almost surely, 2^7779058560 is an apocalyptic number.

7779058560 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 7779058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18287881920).

7779058560 is an abundant number, since it is smaller than the sum of its proper divisors (28796705280).

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

7779058560 is a wasteful number, since it uses less digits than its factorization.

7779058560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The square root of 7779058560 is about 88198.9714225739. The cubic root of 7779058560 is about 1981.4160668981.

The spelling of 7779058560 in words is "seven billion, seven hundred seventy-nine million, fifty-eight thousand, five hundred sixty".