768821760 has 480 divisors, whose sum is σ = 3190777920. Its totient is φ = 174956544.

The previous prime is 768821749. The next prime is 768821761. The reversal of 768821760 is 67128867.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (768821761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386767 + ... + 3386993.

It is an arithmetic number, because the mean of its divisors is an integer number (6647454).

Almost surely, 2^768821760 is an apocalyptic number.

768821760 is a gapful number since it is divisible by the number (70) 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 768821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595388960).

768821760 is an abundant number, since it is smaller than the sum of its proper divisors (2421956160).

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

768821760 is a wasteful number, since it uses less digits than its factorization.

768821760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 768821760 is about 27727.6353120853. The cubic root of 768821760 is about 916.0979027461.

The spelling of 768821760 in words is "seven hundred sixty-eight million, eight hundred twenty-one thousand, seven hundred sixty".