792433152 has 320 divisors, whose sum is σ = 2828390400. Its totient is φ = 213995520.

The previous prime is 792433151. The next prime is 792433183. The reversal of 792433152 is 251334297.

792433152 is a `hidden beast` number, since 79 + 2 + 433 + 152 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (792433151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1838377 + ... + 1838807.

It is an arithmetic number, because the mean of its divisors is an integer number (8838720).

Almost surely, 2^792433152 is an apocalyptic number.

792433152 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 792433152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414195200).

792433152 is an abundant number, since it is smaller than the sum of its proper divisors (2035957248).

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

792433152 is a wasteful number, since it uses less digits than its factorization.

792433152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 462 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 792433152 is about 28150.1892000747. The cubic root of 792433152 is about 925.3816402309.

The spelling of 792433152 in words is "seven hundred ninety-two million, four hundred thirty-three thousand, one hundred fifty-two".