768761280 has 560 divisors, whose sum is σ = 3304519680. Its totient is φ = 165722112.

The previous prime is 768761249. The next prime is 768761291. The reversal of 768761280 is 82167867.

768761280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3447249 + ... + 3447471.

It is an arithmetic number, because the mean of its divisors is an integer number (5900928).

Almost surely, 2^768761280 is an apocalyptic number.

768761280 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 768761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652259840).

768761280 is an abundant number, since it is smaller than the sum of its proper divisors (2535758400).

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

768761280 is a wasteful number, since it uses less digits than its factorization.

768761280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 259 counting only the distinct ones).

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

The square root of 768761280 is about 27726.5446819469. The cubic root of 768761280 is about 916.0738802496.

The spelling of 768761280 in words is "seven hundred sixty-eight million, seven hundred sixty-one thousand, two hundred eighty".