768515328 has 216 divisors, whose sum is σ = 2682283968. Its totient is φ = 206585856.

The previous prime is 768515309. The next prime is 768515347. The reversal of 768515328 is 823515867.

768515328 is a `hidden beast` number, since 7 + 68 + 51 + 532 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (768515309) and next prime (768515347).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272775 + ... + 275577.

Almost surely, 2^768515328 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 768515328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341141984).

768515328 is an abundant number, since it is smaller than the sum of its proper divisors (1913768640).

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

768515328 is a wasteful number, since it uses less digits than its factorization.

768515328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849 (or 2832 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 768515328 is about 27722.1090106795. The cubic root of 768515328 is about 915.9761757818.

The spelling of 768515328 in words is "seven hundred sixty-eight million, five hundred fifteen thousand, three hundred twenty-eight".