4800768 has 144 divisors (see below), whose sum is σ = 15697920. Its totient is φ = 1271808.

The previous prime is 4800737. The next prime is 4800773. The reversal of 4800768 is 8670084.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102121 + ... + 102167.

Almost surely, 2^4800768 is an apocalyptic number.

4800768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7848960).

4800768 is an abundant number, since it is smaller than the sum of its proper divisors (10897152).

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

4800768 is a wasteful number, since it uses less digits than its factorization.

4800768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 4800768 is about 2191.0654942288. The cubic root of 4800768 is about 168.6955291957.

It can be divided in two parts, 480076 and 8, that added together give a palindrome (480084).

The spelling of 4800768 in words is "four million, eight hundred thousand, seven hundred sixty-eight".