760448 has 32 divisors (see below), whose sum is σ = 1635060. Its totient is φ = 350208.

The previous prime is 760447. The next prime is 760453. The reversal of 760448 is 844067.

It can be written as a sum of positive squares in 2 ways, for example, as 760384 + 64 = 872^2 + 8^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 760448.

It is not an unprimeable number, because it can be changed into a prime (760447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1436 + ... + 1892.

2⁷⁶⁰⁴⁴⁸ 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 760448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817530).

760448 is an abundant number, since it is smaller than the sum of its proper divisors (874612).

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

760448 is a wasteful number, since it uses less digits than its factorization.

760448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 760448 is about 872.0366964756. The cubic root of 760448 is about 91.2759805924.

The spelling of 760448 in words is "seven hundred sixty thousand, four hundred forty-eight".