7801920000 has 1000 divisors, whose sum is σ = 34029432096. Its totient is φ = 1741824000.

The previous prime is 7801919981. The next prime is 7801920013. The reversal of 7801920000 is 291087.

It is a tau number, because it is divible by the number of its divisors (1000).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 181439979 + ... + 181440021.

Almost surely, 2^7801920000 is an apocalyptic number.

7801920000 is a gapful number since it is divisible by the number (70) 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 7801920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17014716048).

7801920000 is an abundant number, since it is smaller than the sum of its proper divisors (26227512096).

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

7801920000 is an frugal number, since it uses more digits than its factorization.

7801920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 7801920000 is about 88328.4778539741. The cubic root of 7801920000 is about 1983.3551928167.

The spelling of 7801920000 in words is "seven billion, eight hundred one million, nine hundred twenty thousand".