768905472 has 72 divisors (see below), whose sum is σ = 2096408160. Its totient is φ = 250040320.

The previous prime is 768905441. The next prime is 768905483. The reversal of 768905472 is 274509867.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 19279 + ... + 43697.

It is an arithmetic number, because the mean of its divisors is an integer number (29116780).

Almost surely, 2^768905472 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 768905472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048204080).

768905472 is an abundant number, since it is smaller than the sum of its proper divisors (1327502688).

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

768905472 is a wasteful number, since it uses less digits than its factorization.

768905472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24479 (or 24465 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 768905472 is about 27729.1448119122. The cubic root of 768905472 is about 916.1311508531.

The spelling of 768905472 in words is "seven hundred sixty-eight million, nine hundred five thousand, four hundred seventy-two".