7871800320 has 704 divisors, whose sum is σ = 30616569600. Its totient is φ = 1934917632.

The previous prime is 7871800297. The next prime is 7871800331. The reversal of 7871800320 is 230081787.

It is a super-3 number, since 3×7871800320³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 212751342 + ... + 212751378.

Almost surely, 2^7871800320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7871800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15308284800).

7871800320 is an abundant number, since it is smaller than the sum of its proper divisors (22744769280).

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

7871800320 is an equidigital number, since it uses as much as digits as its factorization.

7871800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 7871800320 is about 88723.1667604352. The cubic root of 7871800320 is about 1989.2591132711.

The spelling of 7871800320 in words is "seven billion, eight hundred seventy-one million, eight hundred thousand, three hundred twenty".