782263680 has 128 divisors (see below), whose sum is σ = 2720217600. Its totient is φ = 189634560.

The previous prime is 782263673. The next prime is 782263681. The reversal of 782263680 is 86362287.

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

It is a super-2 number, since 2×782263680² = 1223872930094284800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782263681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2601 + ... + 39639.

It is an arithmetic number, because the mean of its divisors is an integer number (21251700).

Almost surely, 2^782263680 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 782263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360108800).

782263680 is an abundant number, since it is smaller than the sum of its proper divisors (1937953920).

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

782263680 is a wasteful number, since it uses less digits than its factorization.

782263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37072 (or 37060 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 782263680 is about 27968.9770996367. The cubic root of 782263680 is about 921.4060415998.

It can be divided in two parts, 782 and 263680, that added together give a palindrome (264462).

The spelling of 782263680 in words is "seven hundred eighty-two million, two hundred sixty-three thousand, six hundred eighty".