768450432 has 64 divisors (see below), whose sum is σ = 2045365200. Its totient is φ = 255627264.

The previous prime is 768450409. The next prime is 768450433. The reversal of 768450432 is 234054867.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768450433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216738 + ... + 220254.

Almost surely, 2^768450432 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 768450432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022682600).

768450432 is an abundant number, since it is smaller than the sum of its proper divisors (1276914768).

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

768450432 is a wasteful number, since it uses less digits than its factorization.

768450432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4103 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 768450432 is about 27720.9385122510. The cubic root of 768450432 is about 915.9503923606.

The spelling of 768450432 in words is "seven hundred sixty-eight million, four hundred fifty thousand, four hundred thirty-two".