768632288 has 72 divisors (see below), whose sum is σ = 1636307568. Its totient is φ = 354179072.

The previous prime is 768632287. The next prime is 768632303. The reversal of 768632288 is 882236867.

It is a super-2 number, since 2×768632288² = 1181591188312229888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768632281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1527845 + ... + 1528347.

It is an arithmetic number, because the mean of its divisors is an integer number (22726494).

Almost surely, 2^768632288 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 768632288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818153784).

768632288 is an abundant number, since it is smaller than the sum of its proper divisors (867675280).

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

768632288 is a wasteful number, since it uses less digits than its factorization.

768632288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 575 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 50.

The square root of 768632288 is about 27724.2184380372. The cubic root of 768632288 is about 916.0226407579.

The spelling of 768632288 in words is "seven hundred sixty-eight million, six hundred thirty-two thousand, two hundred eighty-eight".