768493440 has 512 divisors, whose sum is σ = 3207859200. Its totient is φ = 171417600.

The previous prime is 768493409. The next prime is 768493447. The reversal of 768493440 is 44394867.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768493447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2470885 + ... + 2471195.

It is an arithmetic number, because the mean of its divisors is an integer number (6265350).

Almost surely, 2^768493440 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 768493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603929600).

768493440 is an abundant number, since it is smaller than the sum of its proper divisors (2439365760).

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

768493440 is a wasteful number, since it uses less digits than its factorization.

768493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 768493440 is about 27721.7142327093. The cubic root of 768493440 is about 915.9674797605.

It can be divided in two parts, 7684 and 93440, that added together give a square (101124 = 318²).

The spelling of 768493440 in words is "seven hundred sixty-eight million, four hundred ninety-three thousand, four hundred forty".