768020880 has 240 divisors, whose sum is σ = 2671704000. Its totient is φ = 182307840.

The previous prime is 768020873. The next prime is 768020971. The reversal of 768020880 is 88020867.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1538871 + ... + 1539369.

It is an arithmetic number, because the mean of its divisors is an integer number (11132100).

Almost surely, 2^768020880 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 768020880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335852000).

768020880 is an abundant number, since it is smaller than the sum of its proper divisors (1903683120).

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

768020880 is a wasteful number, since it uses less digits than its factorization.

768020880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 768020880 is about 27713.1896395922. The cubic root of 768020880 is about 915.7796931457.

The spelling of 768020880 in words is "seven hundred sixty-eight million, twenty thousand, eight hundred eighty".