782535880 has 192 divisors, whose sum is σ = 2134900800. Its totient is φ = 257241600.

The previous prime is 782535847. The next prime is 782535889. The reversal of 782535880 is 88535287.

It is a super-2 number, since 2×782535880² = 1224724806974748800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 782535880.

It is not an unprimeable number, because it can be changed into a prime (782535889) 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 47 ways as a sum of consecutive naturals, for example, 7747830 + ... + 7747930.

It is an arithmetic number, because the mean of its divisors is an integer number (11119275).

Almost surely, 2^782535880 is an apocalyptic number.

782535880 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 782535880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067450400).

782535880 is an abundant number, since it is smaller than the sum of its proper divisors (1352364920).

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

782535880 is a wasteful number, since it uses less digits than its factorization.

782535880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

The square root of 782535880 is about 27973.8427821420. The cubic root of 782535880 is about 921.5129014076.

The spelling of 782535880 in words is "seven hundred eighty-two million, five hundred thirty-five thousand, eight hundred eighty".