768004773120 has 1728 divisors, whose sum is σ = 3224434397184. Its totient is φ = 166896599040.

The previous prime is 768004773113. The next prime is 768004773139. The reversal of 768004773120 is 21377400867.

768004773120 is a `hidden beast` number, since 76 + 80 + 0 + 477 + 31 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2920170109 + ... + 2920170371.

It is an arithmetic number, because the mean of its divisors is an integer number (1865992128).

Almost surely, 2^768004773120 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 768004773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612217198592).

768004773120 is an abundant number, since it is smaller than the sum of its proper divisors (2456429624064).

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

768004773120 is a wasteful number, since it uses less digits than its factorization.

768004773120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 768004773120 in words is "seven hundred sixty-eight billion, four million, seven hundred seventy-three thousand, one hundred twenty".