7878777984 has 640 divisors, whose sum is σ = 29857766400. Its totient is φ = 2003097600.

The previous prime is 7878777947. The next prime is 7878778007. The reversal of 7878777984 is 4897778787.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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, 56681787 + ... + 56681925.

It is an arithmetic number, because the mean of its divisors is an integer number (46652760).

Almost surely, 2^7878777984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7878777984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14928883200).

7878777984 is an abundant number, since it is smaller than the sum of its proper divisors (21978988416).

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

7878777984 is a wasteful number, since it uses less digits than its factorization.

7878777984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 233 counting only the distinct ones).

The product of its digits is 309786624, while the sum is 72.

The square root of 7878777984 is about 88762.4807224314. The cubic root of 7878777984 is about 1989.8467078877.

The spelling of 7878777984 in words is "seven billion, eight hundred seventy-eight million, seven hundred seventy-seven thousand, nine hundred eighty-four".