6779082240 has 320 divisors, whose sum is σ = 27521809920. Its totient is φ = 1549393920.

The previous prime is 6779082209. The next prime is 6779082251. The reversal of 6779082240 is 422809776.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 476835 + ... + 490845.

It is an arithmetic number, because the mean of its divisors is an integer number (86005656).

Almost surely, 2^6779082240 is an apocalyptic number.

6779082240 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 6779082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13760904960).

6779082240 is an abundant number, since it is smaller than the sum of its proper divisors (20742727680).

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

6779082240 is a wasteful number, since it uses less digits than its factorization.

6779082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14050 (or 14028 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6779082240 is about 82335.1822734364. The cubic root of 6779082240 is about 1892.5918584826.

The spelling of 6779082240 in words is "six billion, seven hundred seventy-nine million, eighty-two thousand, two hundred forty".