7788920832 has 480 divisors, whose sum is σ = 28635911460. Its totient is φ = 2023096320.

The previous prime is 7788920831. The next prime is 7788920849. The reversal of 7788920832 is 2380298877.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7788920831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 708083707 + ... + 708083717.

Almost surely, 2^7788920832 is an apocalyptic number.

7788920832 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 7788920832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14317955730).

7788920832 is an abundant number, since it is smaller than the sum of its proper divisors (20846990628).

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

7788920832 is an frugal number, since it uses more digits than its factorization.

7788920832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 7788920832 is about 88254.8629368377. The cubic root of 7788920832 is about 1982.2530581499.

The spelling of 7788920832 in words is "seven billion, seven hundred eighty-eight million, nine hundred twenty thousand, eight hundred thirty-two".