768742464 has 112 divisors (see below), whose sum is σ = 2399645696. Its totient is φ = 212544000.

The previous prime is 768742459. The next prime is 768742517. The reversal of 768742464 is 464247867.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 32439 + ... + 50889.

It is an arithmetic number, because the mean of its divisors is an integer number (21425408).

Almost surely, 2^768742464 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 768742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199822848).

768742464 is an abundant number, since it is smaller than the sum of its proper divisors (1630903232).

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

768742464 is a wasteful number, since it uses less digits than its factorization.

768742464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18504 (or 18494 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 48.

The square root of 768742464 is about 27726.2053660432. The cubic root of 768742464 is about 916.0664063271.

The spelling of 768742464 in words is "seven hundred sixty-eight million, seven hundred forty-two thousand, four hundred sixty-four".