768480048 has 400 divisors, whose sum is σ = 2765537280. Its totient is φ = 201180672.

The previous prime is 768480029. The next prime is 768480101. The reversal of 768480048 is 840084867.

It is a junction number, because it is equal to n+sod(n) for n = 768479985 and 768480012.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6050961 + ... + 6051087.

Almost surely, 2^768480048 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 768480048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382768640).

768480048 is an abundant number, since it is smaller than the sum of its proper divisors (1997057232).

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

768480048 is a wasteful number, since it uses less digits than its factorization.

768480048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 768480048 is about 27721.4726881528. The cubic root of 768480048 is about 915.9621590872.

The spelling of 768480048 in words is "seven hundred sixty-eight million, four hundred eighty thousand, forty-eight".