782578560 has 128 divisors (see below), whose sum is σ = 2508343200. Its totient is φ = 207527936.

The previous prime is 782578553. The next prime is 782578567. The reversal of 782578560 is 65875287.

It is an interprime number because it is at equal distance from previous prime (782578553) and next prime (782578567).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×782578560² = 1224858405143347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782578567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377206 + ... + 379274.

Almost surely, 2^782578560 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 782578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254171600).

782578560 is an abundant number, since it is smaller than the sum of its proper divisors (1725764640).

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

782578560 is a wasteful number, since it uses less digits than its factorization.

782578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The square root of 782578560 is about 27974.6056272470. The cubic root of 782578560 is about 921.5296544011.

The spelling of 782578560 in words is "seven hundred eighty-two million, five hundred seventy-eight thousand, five hundred sixty".