768675624 has 64 divisors (see below), whose sum is σ = 1996704000. Its totient is φ = 246301440.

The previous prime is 768675613. The next prime is 768675671. The reversal of 768675624 is 426576867.

It is a Cunningham number, because it is equal to 27725²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164034 + ... + 168654.

It is an arithmetic number, because the mean of its divisors is an integer number (31198500).

Almost surely, 2^768675624 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 768675624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998352000).

768675624 is an abundant number, since it is smaller than the sum of its proper divisors (1228028376).

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

768675624 is a wasteful number, since it uses less digits than its factorization.

768675624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4898 (or 4894 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The square root of 768675624 is about 27724.9999819657. Note that the first 4 decimals coincide. The cubic root of 768675624 is about 916.0398557565.

The spelling of 768675624 in words is "seven hundred sixty-eight million, six hundred seventy-five thousand, six hundred twenty-four".