793728 has 96 divisors (see below), whose sum is σ = 2506140. Its totient is φ = 239616.

The previous prime is 793721. The next prime is 793733. The reversal of 793728 is 827397.

It can be written as a sum of positive squares in 2 ways, for example, as 788544 + 5184 = 888^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 793692 and 793701.

It is not an unprimeable number, because it can be changed into a prime (793721) by changing a digit.

793728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14950 + ... + 15002.

2⁷⁹³⁷²⁸ is an apocalyptic number.

793728 is a gapful number since it is divisible by the number (78) 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 793728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253070).

793728 is an abundant number, since it is smaller than the sum of its proper divisors (1712412).

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

793728 is a wasteful number, since it uses less digits than its factorization.

793728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 71 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 793728 is about 890.9141372770. The cubic root of 793728 is about 92.5885395243.

It can be divided in two parts, 793 and 728, that added together give a square (1521 = 39²).

The spelling of 793728 in words is "seven hundred ninety-three thousand, seven hundred twenty-eight".