768344304 has 180 divisors, whose sum is σ = 2501520696. Its totient is φ = 202535424.

The previous prime is 768344303. The next prime is 768344309. The reversal of 768344304 is 403443867.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768344303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 396522 + ... + 398454.

Almost surely, 2^768344304 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 768344304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250760348).

768344304 is an abundant number, since it is smaller than the sum of its proper divisors (1733176392).

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

768344304 is a wasteful number, since it uses less digits than its factorization.

768344304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 768344304 is about 27719.0242252501. The cubic root of 768344304 is about 915.9082241848.

The spelling of 768344304 in words is "seven hundred sixty-eight million, three hundred forty-four thousand, three hundred four".