792584352 has 144 divisors (see below), whose sum is σ = 2671486272. Its totient is φ = 226437120.

The previous prime is 792584341. The next prime is 792584357. The reversal of 792584352 is 253485297.

Added to its reverse (253485297) it gives a square (1046069649 = 32343²).

792584352 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 (144).

It is a super-3 number, since 3×792584352³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 792584298 and 792584307.

It is not an unprimeable number, because it can be changed into a prime (792584357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47152 + ... + 61712.

It is an arithmetic number, because the mean of its divisors is an integer number (18551988).

Almost surely, 2^792584352 is an apocalyptic number.

792584352 is a gapful number since it is divisible by the number (72) 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 792584352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335743136).

792584352 is an abundant number, since it is smaller than the sum of its proper divisors (1878901920).

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

792584352 is a wasteful number, since it uses less digits than its factorization.

792584352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14593 (or 14573 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 792584352 is about 28152.8746667192. The cubic root of 792584352 is about 925.4404922218.

Adding to 792584352 its reverse (253485297), we get a square (1046069649 = 32343²).

The spelling of 792584352 in words is "seven hundred ninety-two million, five hundred eighty-four thousand, three hundred fifty-two".