760896 has 42 divisors (see below), whose sum is σ = 2182622. Its totient is φ = 253440.

The previous prime is 760891. The next prime is 760897. The reversal of 760896 is 698067.

It can be written as a sum of positive squares in only one way, i.e., 746496 + 14400 = 864^2 + 120^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 760896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760891) by changing a digit.

760896 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 5 ways as a sum of consecutive naturals, for example, 85 + ... + 1236.

2⁷⁶⁰⁸⁹⁶ 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 760896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091311).

760896 is an abundant number, since it is smaller than the sum of its proper divisors (1421726).

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

760896 is a wasteful number, since it uses less digits than its factorization.

760896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 760896 is about 872.2935285785. The cubic root of 760896 is about 91.2939014372.

The spelling of 760896 in words is "seven hundred sixty thousand, eight hundred ninety-six".