768044520 has 288 divisors, whose sum is σ = 2704501800. Its totient is φ = 188863488.

The previous prime is 768044509. The next prime is 768044521. The reversal of 768044520 is 25440867.

It can be written as a sum of positive squares in 4 ways, for example, as 754161444 + 13883076 = 27462^2 + 3726^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768044521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7046226 + ... + 7046334.

Almost surely, 2^768044520 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 768044520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352250900).

768044520 is an abundant number, since it is smaller than the sum of its proper divisors (1936457280).

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

768044520 is a wasteful number, since it uses less digits than its factorization.

768044520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 768044520 is about 27713.6161480237. The cubic root of 768044520 is about 915.7890890751.

The spelling of 768044520 in words is "seven hundred sixty-eight million, forty-four thousand, five hundred twenty".