7789908672 has 560 divisors, whose sum is σ = 29086657600. Its totient is φ = 2048385024.

The previous prime is 7789908671. The next prime is 7789908703. The reversal of 7789908672 is 2768099877.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (7789908671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23115288 + ... + 23115624.

It is an arithmetic number, because the mean of its divisors is an integer number (51940460).

Almost surely, 2^7789908672 is an apocalyptic number.

7789908672 is a gapful number since it is divisible by the number (72) 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 7789908672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14543328800).

7789908672 is an abundant number, since it is smaller than the sum of its proper divisors (21296748928).

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

7789908672 is a wasteful number, since it uses less digits than its factorization.

7789908672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The square root of 7789908672 is about 88260.4592782068. The cubic root of 7789908672 is about 1982.3368552136.

The spelling of 7789908672 in words is "seven billion, seven hundred eighty-nine million, nine hundred eight thousand, six hundred seventy-two".