6782086080 has 1008 divisors, whose sum is σ = 31466369376. Its totient is φ = 1321205760.

The previous prime is 6782086021. The next prime is 6782086099. The reversal of 6782086080 is 806802876.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26389312 + ... + 26389568.

Almost surely, 2^6782086080 is an apocalyptic number.

6782086080 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 6782086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15733184688).

6782086080 is an abundant number, since it is smaller than the sum of its proper divisors (24684283296).

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

6782086080 is a wasteful number, since it uses less digits than its factorization.

6782086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 6782086080 is about 82353.4217868329. The cubic root of 6782086080 is about 1892.8713556891.

The spelling of 6782086080 in words is "six billion, seven hundred eighty-two million, eighty-six thousand, eighty".