773248 has 32 divisors (see below), whose sum is σ = 1762560. Its totient is φ = 331008.

The previous prime is 773239. The next prime is 773249. The reversal of 773248 is 842377.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (773249) by changing a digit.

773248 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 3 ways as a sum of consecutive naturals, for example, 465 + ... + 1327.

It is an arithmetic number, because the mean of its divisors is an integer number (55080).

773248 is a Friedman number, since it can be written as 7*(48^3-2^7), using all its digits and the basic arithmetic operations.

2⁷⁷³²⁴⁸ 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 773248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881280).

773248 is an abundant number, since it is smaller than the sum of its proper divisors (989312).

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

773248 is an equidigital number, since it uses as much as digits as its factorization.

773248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 872 counting only the distinct ones).

The product of its digits is 9408, while the sum is 31.

The square root of 773248 is about 879.3452109382. The cubic root of 773248 is about 91.7852584458.

The spelling of 773248 in words is "seven hundred seventy-three thousand, two hundred forty-eight".