6782330880 has 960 divisors, whose sum is σ = 28469160720. Its totient is φ = 1528823808.

The previous prime is 6782330879. The next prime is 6782330903. The reversal of 6782330880 is 880332876.

6782330880 = T₂₈₂₃₉ + T₂₈₂₄₀ + ... + T₂₈₂₅₅.

It can be written as a sum of positive squares in 8 ways, for example, as 4124722176 + 2657608704 = 64224^2 + 51552^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 183306222 + ... + 183306258.

Almost surely, 2^6782330880 is an apocalyptic number.

6782330880 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 6782330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14234580360).

6782330880 is an abundant number, since it is smaller than the sum of its proper divisors (21686829840).

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

6782330880 is a wasteful number, since it uses less digits than its factorization.

6782330880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6782330880 is about 82354.9080504617. The cubic root of 6782330880 is about 1892.8941298684.

The spelling of 6782330880 in words is "six billion, seven hundred eighty-two million, three hundred thirty thousand, eight hundred eighty".