768960072 has 48 divisors (see below), whose sum is σ = 2113697040. Its totient is φ = 252492768.

The previous prime is 768960047. The next prime is 768960107. The reversal of 768960072 is 270069867.

It is a happy number.

768960072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74878 + ... + 84525.

It is an arithmetic number, because the mean of its divisors is an integer number (44035355).

Almost surely, 2^768960072 is an apocalyptic number.

768960072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

768960072 is an abundant number, since it is smaller than the sum of its proper divisors (1344736968).

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

768960072 is a wasteful number, since it uses less digits than its factorization.

768960072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159482 (or 159475 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 768960072 is about 27730.1293181262. The cubic root of 768960072 is about 916.1528351731.

The spelling of 768960072 in words is "seven hundred sixty-eight million, nine hundred sixty thousand, seventy-two".