7766682480 has 240 divisors, whose sum is σ = 26837594784. Its totient is φ = 2011668480.

The previous prime is 7766682431. The next prime is 7766682559. The reversal of 7766682480 is 842866677.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9062212 + ... + 9063068.

Almost surely, 2^7766682480 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 7766682480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13418797392).

7766682480 is an abundant number, since it is smaller than the sum of its proper divisors (19070912304).

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

7766682480 is a wasteful number, since it uses less digits than its factorization.

7766682480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 7766682480 is about 88128.7834932492. The cubic root of 7766682480 is about 1980.3647323194.

The spelling of 7766682480 in words is "seven billion, seven hundred sixty-six million, six hundred eighty-two thousand, four hundred eighty".