7786672560 has 240 divisors, whose sum is σ = 27239756544. Its totient is φ = 2067192576.

The previous prime is 7786672547. The next prime is 7786672601. The reversal of 7786672560 is 652766877.

7786672560 is a `hidden beast` number, since 7 + 7 + 8 + 6 + 6 + 72 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 7786672497 and 7786672506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5111959 + ... + 5113481.

Almost surely, 2^7786672560 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 7786672560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13619878272).

7786672560 is an abundant number, since it is smaller than the sum of its proper divisors (19453083984).

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

7786672560 is a wasteful number, since it uses less digits than its factorization.

7786672560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The square root of 7786672560 is about 88242.1246344398. The cubic root of 7786672560 is about 1982.0623140141.

It can be divided in two parts, 77866 and 72560, that added together give a triangular number (150426 = T₅₄₈).

The spelling of 7786672560 in words is "seven billion, seven hundred eighty-six million, six hundred seventy-two thousand, five hundred sixty".