7851873120 has 384 divisors, whose sum is σ = 32046658560. Its totient is φ = 1569300480.

The previous prime is 7851873103. The next prime is 7851873137. The reversal of 7851873120 is 213781587.

It is an interprime number because it is at equal distance from previous prime (7851873103) and next prime (7851873137).

It is a super-2 number, since 2×7851873120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 825190 + ... + 834650.

It is an arithmetic number, because the mean of its divisors is an integer number (83454840).

Almost surely, 2^7851873120 is an apocalyptic number.

7851873120 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 7851873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16023329280).

7851873120 is an abundant number, since it is smaller than the sum of its proper divisors (24194785440).

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

7851873120 is a wasteful number, since it uses less digits than its factorization.

7851873120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9518 (or 9510 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The square root of 7851873120 is about 88610.7957305429. The cubic root of 7851873120 is about 1987.5791138161.

The spelling of 7851873120 in words is "seven billion, eight hundred fifty-one million, eight hundred seventy-three thousand, one hundred twenty".