792768240 has 240 divisors, whose sum is σ = 2924812800. Its totient is φ = 190840320.

The previous prime is 792768233. The next prime is 792768241. The reversal of 792768240 is 42867297.

792768240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792768241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1575829 + ... + 1576331.

It is an arithmetic number, because the mean of its divisors is an integer number (12186720).

Almost surely, 2^792768240 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 792768240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462406400).

792768240 is an abundant number, since it is smaller than the sum of its proper divisors (2132044560).

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

792768240 is a wasteful number, since it uses less digits than its factorization.

792768240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 792768240 is about 28156.1403604969. The cubic root of 792768240 is about 925.5120573667.

It can be divided in two parts, 7927 and 68240, that added together give a palindrome (76167).

The spelling of 792768240 in words is "seven hundred ninety-two million, seven hundred sixty-eight thousand, two hundred forty".