6782396880 has 160 divisors (see below), whose sum is σ = 24588140544. Its totient is φ = 1514193408.

The previous prime is 6782396879. The next prime is 6782396903. The reversal of 6782396880 is 886932876.

It is a self number, because there is not a number n which added to its sum of digits gives 6782396880.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 25297 + ... + 119183.

Almost surely, 2^6782396880 is an apocalyptic number.

6782396880 is a gapful number since it is divisible by the number (60) 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 6782396880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12294070272).

6782396880 is an abundant number, since it is smaller than the sum of its proper divisors (17805743664).

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

6782396880 is a wasteful number, since it uses less digits than its factorization.

6782396880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93953 (or 93947 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The square root of 6782396880 is about 82355.3087542024. The cubic root of 6782396880 is about 1892.9002698719.

The spelling of 6782396880 in words is "six billion, seven hundred eighty-two million, three hundred ninety-six thousand, eight hundred eighty".