768483360 has 144 divisors (see below), whose sum is σ = 2736586944. Its totient is φ = 196010496.

The previous prime is 768483277. The next prime is 768483371. The reversal of 768483360 is 63384867.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 21519 + ... + 44721.

It is an arithmetic number, because the mean of its divisors is an integer number (19004076).

Almost surely, 2^768483360 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 768483360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368293472).

768483360 is an abundant number, since it is smaller than the sum of its proper divisors (1968103584).

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

768483360 is a wasteful number, since it uses less digits than its factorization.

768483360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23247 (or 23236 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 768483360 is about 27721.5324251745. The cubic root of 768483360 is about 915.9634749584.

It can be divided in two parts, 76848 and 3360, that added together give a palindrome (80208).

The spelling of 768483360 in words is "seven hundred sixty-eight million, four hundred eighty-three thousand, three hundred sixty".