782480 has 20 divisors (see below), whose sum is σ = 1819452. Its totient is φ = 312960.

The previous prime is 782473. The next prime is 782489. The reversal of 782480 is 84287.

It can be written as a sum of positive squares in 2 ways, for example, as 309136 + 473344 = 556^2 + 688^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×782480² = 1224549900800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (782489) by changing a digit.

782480 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, 4811 + ... + 4970.

2⁷⁸²⁴⁸⁰ is an apocalyptic number.

It is an amenable number.

782480 is an abundant number, since it is smaller than the sum of its proper divisors (1036972).

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

782480 is a wasteful number, since it uses less digits than its factorization.

782480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9794 (or 9788 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 782480 is about 884.5789959071. The cubic root of 782480 is about 92.1490966155.

The spelling of 782480 in words is "seven hundred eighty-two thousand, four hundred eighty".