7776417856 has 63 divisors (see below), whose sum is σ = 15749912493. Its totient is φ = 3809548800.

The previous prime is 7776417839. The next prime is 7776417881. The reversal of 7776417856 is 6587146777.

The square root of 7776417856 is 88184.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4414273600 + 3362144256 = 66440^2 + 57984^2 .

It is a super-2 number, since 2×7776417856² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7776417856.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51499381 + ... + 51499531.

It is an arithmetic number, because the mean of its divisors is an integer number (249998611).

Almost surely, 2^7776417856 is an apocalyptic number.

7776417856 is the 88184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7776417856

7776417856 is an abundant number, since it is smaller than the sum of its proper divisors (7973494637).

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

7776417856 is an frugal number, since it uses more digits than its factorization.

7776417856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 226 counting only the distinct ones).

The product of its digits is 13829760, while the sum is 58.

The cubic root of 7776417856 is about 1981.1918355868.

The spelling of 7776417856 in words is "seven billion, seven hundred seventy-six million, four hundred seventeen thousand, eight hundred fifty-six".