783648768 has 288 divisors, whose sum is σ = 2576901600. Its totient is φ = 210567168.

The previous prime is 783648757. The next prime is 783648773. The reversal of 783648768 is 867846387.

It is a super-2 number, since 2×783648768² = 1228210783175835648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (10838016) is a multiple of the sum of its prime divisors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5719996 + ... + 5720132.

It is an arithmetic number, because the mean of its divisors is an integer number (8947575).

Almost surely, 2^783648768 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 783648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288450800).

783648768 is an abundant number, since it is smaller than the sum of its proper divisors (1793252832).

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

783648768 is a wasteful number, since it uses less digits than its factorization.

783648768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 57.

The square root of 783648768 is about 27993.7272973786. The cubic root of 783648768 is about 921.9495394797.

The spelling of 783648768 in words is "seven hundred eighty-three million, six hundred forty-eight thousand, seven hundred sixty-eight".