792429960 has 384 divisors, whose sum is σ = 2999203200. Its totient is φ = 166440960.

The previous prime is 792429947. The next prime is 792430019. The reversal of 792429960 is 69924297.

792429960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4580434 + ... + 4580606.

It is an arithmetic number, because the mean of its divisors is an integer number (7810425).

Almost surely, 2^792429960 is an apocalyptic number.

792429960 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 792429960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499601600).

792429960 is an abundant number, since it is smaller than the sum of its proper divisors (2206773240).

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

792429960 is a wasteful number, since it uses less digits than its factorization.

792429960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 792429960 is about 28150.1325041286. The cubic root of 792429960 is about 925.3803977193.

The spelling of 792429960 in words is "seven hundred ninety-two million, four hundred twenty-nine thousand, nine hundred sixty".