768618288 has 80 divisors (see below), whose sum is σ = 2221212000. Its totient is φ = 254465280.

The previous prime is 768618283. The next prime is 768618293. The reversal of 768618288 is 882816867.

It is an interprime number because it is at equal distance from previous prime (768618283) and next prime (768618293).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (768618283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58398 + ... + 70338.

It is an arithmetic number, because the mean of its divisors is an integer number (27765150).

Almost surely, 2^768618288 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 768618288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110606000).

768618288 is an abundant number, since it is smaller than the sum of its proper divisors (1452593712).

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

768618288 is a wasteful number, since it uses less digits than its factorization.

768618288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12107 (or 12095 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The square root of 768618288 is about 27723.9659500584. The cubic root of 768618288 is about 916.0170791931.

The spelling of 768618288 in words is "seven hundred sixty-eight million, six hundred eighteen thousand, two hundred eighty-eight".