793152 has 98 divisors (see below), whose sum is σ = 2498598. Its totient is φ = 248832.

The previous prime is 793139. The next prime is 793159. The reversal of 793152 is 251397.

It can be written as a sum of positive squares in only one way, i.e., 746496 + 46656 = 864^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (793159) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46648 + ... + 46664.

2⁷⁹³¹⁵² is an apocalyptic number.

793152 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 793152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249299).

793152 is an abundant number, since it is smaller than the sum of its proper divisors (1705446).

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

793152 is an equidigital number, since it uses as much as digits as its factorization.

793152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 22 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 793152 is about 890.5908151334. The cubic root of 793152 is about 92.5661372637.

The spelling of 793152 in words is "seven hundred ninety-three thousand, one hundred fifty-two".