6787800480 has 192 divisors, whose sum is σ = 22431644928. Its totient is φ = 1722040320.

The previous prime is 6787800473. The next prime is 6787800497. The reversal of 6787800480 is 840087876.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2173320 + ... + 2176440.

It is an arithmetic number, because the mean of its divisors is an integer number (116831484).

Almost surely, 2^6787800480 is an apocalyptic number.

6787800480 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 6787800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11215822464).

6787800480 is an abundant number, since it is smaller than the sum of its proper divisors (15643844448).

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

6787800480 is a wasteful number, since it uses less digits than its factorization.

6787800480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 6787800480 is about 82388.1088507316. The cubic root of 6787800480 is about 1893.4028336365.

The spelling of 6787800480 in words is "six billion, seven hundred eighty-seven million, eight hundred thousand, four hundred eighty".