768428416 has 64 divisors (see below), whose sum is σ = 1755509760. Its totient is φ = 328204800.

The previous prime is 768428393. The next prime is 768428417. The reversal of 768428416 is 614824867.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768428417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295281 + ... + 297871.

It is an arithmetic number, because the mean of its divisors is an integer number (27429840).

Almost surely, 2^768428416 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 768428416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877754880).

768428416 is an abundant number, since it is smaller than the sum of its proper divisors (987081344).

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

768428416 is a wasteful number, since it uses less digits than its factorization.

768428416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2931 counting only the distinct ones).

The product of its digits is 516096, while the sum is 46.

The square root of 768428416 is about 27720.5414088542. The cubic root of 768428416 is about 915.9416449925.

It can be divided in two parts, 76842 and 8416, that added together give a palindrome (85258).

The spelling of 768428416 in words is "seven hundred sixty-eight million, four hundred twenty-eight thousand, four hundred sixteen".