782130753 has 12 divisors (see below), whose sum is σ = 1160278548. Its totient is φ = 507327840.

The previous prime is 782130721. The next prime is 782130757. The reversal of 782130753 is 357031287.

It can be written as a sum of positive squares in 2 ways, for example, as 634435344 + 147695409 = 25188^2 + 12153^2 .

It is not a de Polignac number, because 782130753 - 2⁵ = 782130721 is a prime.

It is a super-3 number, since 3×782130753³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (782130757) 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, 1174038 + ... + 1174703.

It is an arithmetic number, because the mean of its divisors is an integer number (96689879).

Almost surely, 2^782130753 is an apocalyptic number.

It is an amenable number.

782130753 is a deficient number, since it is larger than the sum of its proper divisors (378147795).

782130753 is a wasteful number, since it uses less digits than its factorization.

782130753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348784 (or 2348781 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 782130753 is about 27966.6006693699. The cubic root of 782130753 is about 921.3538483380.

The spelling of 782130753 in words is "seven hundred eighty-two million, one hundred thirty thousand, seven hundred fifty-three".