7766790766560 has 576 divisors, whose sum is σ = 31428636954624. Its totient is φ = 1774346342400.

The previous prime is 7766790766529. The next prime is 7766790766571. The reversal of 7766790766560 is 656670976677.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 620790705 + ... + 620803215.

It is an arithmetic number, because the mean of its divisors is an integer number (54563605824).

Almost surely, 2^{7766790766560} is an apocalyptic number.

7766790766560 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 7766790766560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15714318477312).

7766790766560 is an abundant number, since it is smaller than the sum of its proper divisors (23661846188064).

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

7766790766560 is a wasteful number, since it uses less digits than its factorization.

7766790766560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14829 (or 14809 counting only the distinct ones).

The product of its (nonzero) digits is 840157920, while the sum is 72.

The spelling of 7766790766560 in words is "seven trillion, seven hundred sixty-six billion, seven hundred ninety million, seven hundred sixty-six thousand, five hundred sixty".