768745744 has 160 divisors (see below), whose sum is σ = 1776386304. Its totient is φ = 319334400.

The previous prime is 768745687. The next prime is 768745759. The reversal of 768745744 is 447547867.

It is a happy number.

It is a super-2 number, since 2×768745744² = 1181940037836227072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 768745691 and 768745700.

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 31 ways as a sum of consecutive naturals, for example, 7611294 + ... + 7611394.

Almost surely, 2^768745744 is an apocalyptic number.

768745744 is a gapful number since it is divisible by the number (74) 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 768745744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888193152).

768745744 is an abundant number, since it is smaller than the sum of its proper divisors (1007640560).

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

768745744 is a wasteful number, since it uses less digits than its factorization.

768745744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 52.

The square root of 768745744 is about 27726.2645157980. The cubic root of 768745744 is about 916.0677091880.

The spelling of 768745744 in words is "seven hundred sixty-eight million, seven hundred forty-five thousand, seven hundred forty-four".