768352704 has 112 divisors (see below), whose sum is σ = 2445715200. Its totient is φ = 207968256.

The previous prime is 768352703. The next prime is 768352721. The reversal of 768352704 is 407253867.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×768352704² = 1180731755488223232, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768352703) 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, 10492 + ... + 40580.

Almost surely, 2^768352704 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 768352704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222857600).

768352704 is an abundant number, since it is smaller than the sum of its proper divisors (1677362496).

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

768352704 is a wasteful number, since it uses less digits than its factorization.

768352704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30130 (or 30120 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 768352704 is about 27719.1757453211. The cubic root of 768352704 is about 915.9115619251.

The spelling of 768352704 in words is "seven hundred sixty-eight million, three hundred fifty-two thousand, seven hundred four".