7783464960 has 720 divisors, whose sum is σ = 30915271296. Its totient is φ = 1868562432.

The previous prime is 7783464907. The next prime is 7783465009. The reversal of 7783464960 is 694643877.

It is a happy number.

7783464960 is a `hidden beast` number, since 77 + 83 + 4 + 6 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7783464897 and 7783464906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338411509 + ... + 338411531.

Almost surely, 2^7783464960 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 7783464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15457635648).

7783464960 is an abundant number, since it is smaller than the sum of its proper divisors (23131806336).

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

7783464960 is an equidigital number, since it uses as much as digits as its factorization.

7783464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 7783464960 is about 88223.9477692990. The cubic root of 7783464960 is about 1981.7901166063.

The spelling of 7783464960 in words is "seven billion, seven hundred eighty-three million, four hundred sixty-four thousand, nine hundred sixty".