768043920 has 320 divisors, whose sum is σ = 2838675456. Its totient is φ = 168161280.

The previous prime is 768043919. The next prime is 768043943. The reversal of 768043920 is 29340867.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5606092 + ... + 5606228.

Almost surely, 2^768043920 is an apocalyptic number.

768043920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768043920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419337728).

768043920 is an abundant number, since it is smaller than the sum of its proper divisors (2070631536).

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

768043920 is a wasteful number, since it uses less digits than its factorization.

768043920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 768043920 is about 27713.6053230178. The cubic root of 768043920 is about 915.7888506021.

The spelling of 768043920 in words is "seven hundred sixty-eight million, forty-three thousand, nine hundred twenty".