768035408 has 60 divisors (see below), whose sum is σ = 1737201312. Its totient is φ = 327983040.

The previous prime is 768035399. The next prime is 768035419. The reversal of 768035408 is 804530867.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239093 + ... + 242283.

Almost surely, 2^768035408 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 768035408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868600656).

768035408 is an abundant number, since it is smaller than the sum of its proper divisors (969165904).

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

768035408 is a wasteful number, since it uses less digits than its factorization.

768035408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 768035408 is about 27713.4517518118. The cubic root of 768035408 is about 915.7854674520.

The spelling of 768035408 in words is "seven hundred sixty-eight million, thirty-five thousand, four hundred eight".