7860160000 has 600 divisors, whose sum is σ = 25502898960. Its totient is φ = 2365440000.

The previous prime is 7860159991. The next prime is 7860160031. The reversal of 7860160000 is 610687.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 271039986 + ... + 271040014.

Almost surely, 2^7860160000 is an apocalyptic number.

7860160000 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 7860160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12751449480).

7860160000 is an abundant number, since it is smaller than the sum of its proper divisors (17642738960).

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

7860160000 is an equidigital number, since it uses as much as digits as its factorization.

7860160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 7860160000 is about 88657.5433902835. The cubic root of 7860160000 is about 1988.2780994086.

Adding to 7860160000 its reverse (610687), we get a palindrome (7860770687).

It can be divided in two parts, 78601 and 60000, that added together give a triangular number (138601 = T₅₂₆).

The spelling of 7860160000 in words is "seven billion, eight hundred sixty million, one hundred sixty thousand".