768774240 has 384 divisors, whose sum is σ = 2950819200. Its totient is φ = 189236736.

The previous prime is 768774233. The next prime is 768774247. The reversal of 768774240 is 42477867.

It is an interprime number because it is at equal distance from previous prime (768774233) and next prime (768774247).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1170 × 702 × 936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768774247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59136474 + ... + 59136486.

It is an arithmetic number, because the mean of its divisors is an integer number (7684425).

Almost surely, 2^768774240 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 768774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475409600).

768774240 is an abundant number, since it is smaller than the sum of its proper divisors (2182044960).

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

768774240 is an frugal number, since it uses more digits than its factorization.

768774240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 768774240 is about 27726.7783920166. The cubic root of 768774240 is about 916.0790280335.

The spelling of 768774240 in words is "seven hundred sixty-eight million, seven hundred seventy-four thousand, two hundred forty".