7766478720 has 1024 divisors, whose sum is σ = 37013760000. Its totient is φ = 1486356480.

The previous prime is 7766478677. The next prime is 7766478721. The reversal of 7766478720 is 278746677.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7766478721) 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 127 ways as a sum of consecutive naturals, for example, 17297056 + ... + 17297504.

It is an arithmetic number, because the mean of its divisors is an integer number (36146250).

Almost surely, 2^7766478720 is an apocalyptic number.

7766478720 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 7766478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506880000).

7766478720 is an abundant number, since it is smaller than the sum of its proper divisors (29247281280).

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

7766478720 is a wasteful number, since it uses less digits than its factorization.

7766478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The square root of 7766478720 is about 88127.6274501929. The cubic root of 7766478720 is about 1980.3474137862.

The spelling of 7766478720 in words is "seven billion, seven hundred sixty-six million, four hundred seventy-eight thousand, seven hundred twenty".