1768803264 has 224 divisors, whose sum is σ = 5501030400. Its totient is φ = 556416000.

The previous prime is 1768803251. The next prime is 1768803269. The reversal of 1768803264 is 4623088671.

1768803264 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1768803269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2354889 + ... + 2355639.

Almost surely, 2^1768803264 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 1768803264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750515200).

1768803264 is an abundant number, since it is smaller than the sum of its proper divisors (3732227136).

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

1768803264 is a wasteful number, since it uses less digits than its factorization.

1768803264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1768803264 is about 42057.1428416149. The cubic root of 1768803264 is about 1209.3718169978.

The spelling of 1768803264 in words is "one billion, seven hundred sixty-eight million, eight hundred three thousand, two hundred sixty-four".