768643452 has 96 divisors (see below), whose sum is σ = 2049868800. Its totient is φ = 248956416.

The previous prime is 768643433. The next prime is 768643483. The reversal of 768643452 is 254346867.

768643452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (967680) is a multiple of the sum of its prime factors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 768643398 and 768643407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 826924 + ... + 827852.

It is an arithmetic number, because the mean of its divisors is an integer number (21352800).

Almost surely, 2^768643452 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 768643452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024934400).

768643452 is an abundant number, since it is smaller than the sum of its proper divisors (1281225348).

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

768643452 is a wasteful number, since it uses less digits than its factorization.

768643452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1144 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 768643452 is about 27724.4197775174. The cubic root of 768643452 is about 916.0270756602.

The spelling of 768643452 in words is "seven hundred sixty-eight million, six hundred forty-three thousand, four hundred fifty-two".