792342144 has 192 divisors, whose sum is σ = 2568833280. Its totient is φ = 232243200.

The previous prime is 792342143. The next prime is 792342191. The reversal of 792342144 is 441243297.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 792342099 and 792342108.

It is not an unprimeable number, because it can be changed into a prime (792342143) 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, 391824 + ... + 393840.

It is an arithmetic number, because the mean of its divisors is an integer number (13379340).

Almost surely, 2^792342144 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 792342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284416640).

792342144 is an abundant number, since it is smaller than the sum of its proper divisors (1776491136).

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

792342144 is a wasteful number, since it uses less digits than its factorization.

792342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2064 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 792342144 is about 28148.5726813990. The cubic root of 792342144 is about 925.3462133282.

The spelling of 792342144 in words is "seven hundred ninety-two million, three hundred forty-two thousand, one hundred forty-four".