7873931520 has 1296 divisors, whose sum is σ = 36259619760. Its totient is φ = 1560674304.

The previous prime is 7873931509. The next prime is 7873931537. The reversal of 7873931520 is 251393787.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5531904 + 7868399616 = 2352^2 + 88704^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 212808942 + ... + 212808978.

Almost surely, 2^7873931520 is an apocalyptic number.

7873931520 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 7873931520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18129809880).

7873931520 is an abundant number, since it is smaller than the sum of its proper divisors (28385688240).

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

7873931520 is a wasteful number, since it uses less digits than its factorization.

7873931520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 7873931520 is about 88735.1763394878. The cubic root of 7873931520 is about 1989.4386201314.

The spelling of 7873931520 in words is "seven billion, eight hundred seventy-three million, nine hundred thirty-one thousand, five hundred twenty".