768075744 has 24 divisors (see below), whose sum is σ = 2016199080. Its totient is φ = 256025216.

The previous prime is 768075727. The next prime is 768075757. The reversal of 768075744 is 447570867.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 768075693 and 768075702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4000299 + ... + 4000490.

It is an arithmetic number, because the mean of its divisors is an integer number (84008295).

Almost surely, 2^768075744 is an apocalyptic number.

It is an amenable number.

768075744 is an abundant number, since it is smaller than the sum of its proper divisors (1248123336).

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

768075744 is a wasteful number, since it uses less digits than its factorization.

768075744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8000802 (or 8000794 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The square root of 768075744 is about 27714.1794754959. The cubic root of 768075744 is about 915.8014990376.

The spelling of 768075744 in words is "seven hundred sixty-eight million, seventy-five thousand, seven hundred forty-four".