792158112 has 144 divisors (see below), whose sum is σ = 2404656072. Its totient is φ = 246497280.

The previous prime is 792158093. The next prime is 792158161. The reversal of 792158112 is 211851297.

It is a happy number.

792158112 is a `hidden beast` number, since 79 + 2 + 1 + 581 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 790509456 + 1648656 = 28116^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670162 + ... + 671342.

Almost surely, 2^792158112 is an apocalyptic number.

792158112 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 792158112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202328036).

792158112 is an abundant number, since it is smaller than the sum of its proper divisors (1612497960).

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

792158112 is a wasteful number, since it uses less digits than its factorization.

792158112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1340 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 792158112 is about 28145.3035513920. The cubic root of 792158112 is about 925.2745664596.

The spelling of 792158112 in words is "seven hundred ninety-two million, one hundred fifty-eight thousand, one hundred twelve".