7782553056 has 96 divisors (see below), whose sum is σ = 21398307840. Its totient is φ = 2471980544.

The previous prime is 7782553049. The next prime is 7782553067. The reversal of 7782553056 is 6503552877.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 7782552996 and 7782553014.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 587401 + ... + 600503.

It is an arithmetic number, because the mean of its divisors is an integer number (222899040).

Almost surely, 2^7782553056 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 7782553056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10699153920).

7782553056 is an abundant number, since it is smaller than the sum of its proper divisors (13615754784).

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

7782553056 is a wasteful number, since it uses less digits than its factorization.

7782553056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13408 (or 13400 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 48.

The square root of 7782553056 is about 88218.7794973383. The cubic root of 7782553056 is about 1981.7127186468.

The spelling of 7782553056 in words is "seven billion, seven hundred eighty-two million, five hundred fifty-three thousand, fifty-six".