7776767664 has 80 divisors (see below), whose sum is σ = 22464579040. Its totient is φ = 2575722240.

The previous prime is 7776767641. The next prime is 7776767683. The reversal of 7776767664 is 4667676777.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10494 + ... + 125154.

It is an arithmetic number, because the mean of its divisors is an integer number (280807238).

Almost surely, 2^7776767664 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 7776767664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11232289520).

7776767664 is an abundant number, since it is smaller than the sum of its proper divisors (14687811376).

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

7776767664 is a wasteful number, since it uses less digits than its factorization.

7776767664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114835 (or 114823 counting only the distinct ones).

The product of its digits is 87127488, while the sum is 63.

The square root of 7776767664 is about 88185.9833760445. The cubic root of 7776767664 is about 1981.2215419106.

The spelling of 7776767664 in words is "seven billion, seven hundred seventy-six million, seven hundred sixty-seven thousand, six hundred sixty-four".