768924240 has 160 divisors (see below), whose sum is σ = 2734110720. Its totient is φ = 175114752.

The previous prime is 768924199. The next prime is 768924253. The reversal of 768924240 is 42429867.

768924240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 768924192 and 768924201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582301 + ... + 583619.

It is an arithmetic number, because the mean of its divisors is an integer number (17088192).

Almost surely, 2^768924240 is an apocalyptic number.

768924240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768924240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367055360).

768924240 is an abundant number, since it is smaller than the sum of its proper divisors (1965186480).

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

768924240 is a wasteful number, since it uses less digits than its factorization.

768924240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 768924240 is about 27729.4832263423. The cubic root of 768924240 is about 916.1386046560.

The spelling of 768924240 in words is "seven hundred sixty-eight million, nine hundred twenty-four thousand, two hundred forty".