768001024 has 88 divisors (see below), whose sum is σ = 1765332800. Its totient is φ = 327131136.

The previous prime is 768001021. The next prime is 768001043. The reversal of 768001024 is 420100867.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 768000983 and 768001001.

It is not an unprimeable number, because it can be changed into a prime (768001021) by changing a digit.

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, 2200402 + ... + 2200750.

It is an arithmetic number, because the mean of its divisors is an integer number (20060600).

Almost surely, 2^768001024 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 768001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882666400).

768001024 is an abundant number, since it is smaller than the sum of its proper divisors (997331776).

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

768001024 is a wasteful number, since it uses less digits than its factorization.

768001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 768001024 is about 27712.8313963045. The cubic root of 768001024 is about 915.7718010520.

The spelling of 768001024 in words is "seven hundred sixty-eight million, one thousand, twenty-four".