7776677460 has 96 divisors (see below), whose sum is σ = 22331054592. Its totient is φ = 2020910080.

The previous prime is 7776677459. The next prime is 7776677473. The reversal of 7776677460 is 647766777.

It is a self number, because there is not a number n which added to its sum of digits gives 7776677460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3893182 + ... + 3895178.

It is an arithmetic number, because the mean of its divisors is an integer number (232615152).

Almost surely, 2^7776677460 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 7776677460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11165527296).

7776677460 is an abundant number, since it is smaller than the sum of its proper divisors (14554377132).

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

7776677460 is a wasteful number, since it uses less digits than its factorization.

7776677460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 14521248, while the sum is 57.

The square root of 7776677460 is about 88185.4719327396. The cubic root of 7776677460 is about 1981.2138817101.

The spelling of 7776677460 in words is "seven billion, seven hundred seventy-six million, six hundred seventy-seven thousand, four hundred sixty".