768857632 has 48 divisors (see below), whose sum is σ = 1558896192. Its totient is φ = 373006080.

The previous prime is 768857597. The next prime is 768857633. The reversal of 768857632 is 236758867.

768857632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×768857632² = 1182284116569294848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 768857632.

It is not an unprimeable number, because it can be changed into a prime (768857633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 594907 + ... + 596197.

It is an arithmetic number, because the mean of its divisors is an integer number (32477004).

Almost surely, 2^768857632 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 768857632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779448096).

768857632 is an abundant number, since it is smaller than the sum of its proper divisors (790038560).

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

768857632 is a wasteful number, since it uses less digits than its factorization.

768857632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1833 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 52.

The square root of 768857632 is about 27728.2821682123. The cubic root of 768857632 is about 916.1121504147.

The spelling of 768857632 in words is "seven hundred sixty-eight million, eight hundred fifty-seven thousand, six hundred thirty-two".