768998672 has 60 divisors (see below), whose sum is σ = 1708367220. Its totient is φ = 334024704.

The previous prime is 768998669. The next prime is 768998683. The reversal of 768998672 is 276899867.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 20647936 + 748350736 = 4544^2 + 27356^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37604 + ... + 54332.

It is an arithmetic number, because the mean of its divisors is an integer number (28472787).

Almost surely, 2^768998672 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 768998672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854183610).

768998672 is an abundant number, since it is smaller than the sum of its proper divisors (939368548).

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

768998672 is a wasteful number, since it uses less digits than its factorization.

768998672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16780 (or 16761 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 62.

The square root of 768998672 is about 27730.8253032614. The cubic root of 768998672 is about 916.1681644943.

The spelling of 768998672 in words is "seven hundred sixty-eight million, nine hundred ninety-eight thousand, six hundred seventy-two".