768660440 has 64 divisors (see below), whose sum is σ = 1834747200. Its totient is φ = 288821248.

The previous prime is 768660439. The next prime is 768660443. The reversal of 768660440 is 44066867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768660443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582101 + ... + 583419.

It is an arithmetic number, because the mean of its divisors is an integer number (28667925).

Almost surely, 2^768660440 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 768660440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917373600).

768660440 is an abundant number, since it is smaller than the sum of its proper divisors (1066086760).

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

768660440 is a wasteful number, since it uses less digits than its factorization.

768660440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 768660440 is about 27724.7261483319. The cubic root of 768660440 is about 916.0338240658.

The spelling of 768660440 in words is "seven hundred sixty-eight million, six hundred sixty thousand, four hundred forty".