760480 has 72 divisors (see below), whose sum is σ = 2111508. Its totient is φ = 258048.

The previous prime is 760477. The next prime is 760489. The reversal of 760480 is 84067.

760480 = 36² + 37² + ... + 132².

It can be written as a sum of positive squares in 2 ways, for example, as 753424 + 7056 = 868^2 + 84^2 .

It is not an unprimeable number, because it can be changed into a prime (760489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7792 + ... + 7888.

2⁷⁶⁰⁴⁸⁰ is an apocalyptic number.

760480 is a gapful number since it is divisible by the number (70) 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 760480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055754).

760480 is an abundant number, since it is smaller than the sum of its proper divisors (1351028).

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

760480 is a wasteful number, since it uses less digits than its factorization.

760480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 760480 is about 872.0550441343. The cubic root of 760480 is about 91.2772608861.

The spelling of 760480 in words is "seven hundred sixty thousand, four hundred eighty".