7851889920 has 288 divisors, whose sum is σ = 29151037440. Its totient is φ = 1763942400.

The previous prime is 7851889919. The next prime is 7851889949. The reversal of 7851889920 is 299881587.

It is a congruent number.

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, 1583445 + ... + 1588395.

It is an arithmetic number, because the mean of its divisors is an integer number (101218880).

Almost surely, 2^7851889920 is an apocalyptic number.

7851889920 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 7851889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14575518720).

7851889920 is an abundant number, since it is smaller than the sum of its proper divisors (21299147520).

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

7851889920 is a wasteful number, since it uses less digits than its factorization.

7851889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 57.

The square root of 7851889920 is about 88610.8905270678. The cubic root of 7851889920 is about 1987.5805313677.

The spelling of 7851889920 in words is "seven billion, eight hundred fifty-one million, eight hundred eighty-nine thousand, nine hundred twenty".