6879790080 has 440 divisors, whose sum is σ = 25198684632. Its totient is φ = 1794244608.

The previous prime is 6879790079. The next prime is 6879790091. The reversal of 6879790080 is 800979786.

It can be written as a sum of positive squares in 4 ways, for example, as 47775744 + 6832014336 = 6912^2 + 82656^2 .

It is a super-3 number, since 3×6879790080³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6879789999 and 6879790026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21980004 + ... + 21980316.

Almost surely, 2^6879790080 is an apocalyptic number.

6879790080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is a pronic number, being equal to 82944×82945.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6879790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12599342316).

6879790080 is an abundant number, since it is smaller than the sum of its proper divisors (18318894552).

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

6879790080 is a wasteful number, since it uses less digits than its factorization.

6879790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 6879790080 is about 82944.4999984930. The cubic root of 6879790080 is about 1901.9177386827.

The spelling of 6879790080 in words is "six billion, eight hundred seventy-nine million, seven hundred ninety thousand, eighty".