7870521120 has 576 divisors, whose sum is σ = 32577552000. Its totient is φ = 1577533440.

The previous prime is 7870521103. The next prime is 7870521163. The reversal of 7870521120 is 211250787.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7502356 + ... + 7503404.

It is an arithmetic number, because the mean of its divisors is an integer number (56558250).

Almost surely, 2^7870521120 is an apocalyptic number.

7870521120 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 7870521120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16288776000).

7870521120 is an abundant number, since it is smaller than the sum of its proper divisors (24707030880).

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

7870521120 is a wasteful number, since it uses less digits than its factorization.

7870521120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 7870521120 is about 88715.9575273806. The cubic root of 7870521120 is about 1989.1513531652.

The spelling of 7870521120 in words is "seven billion, eight hundred seventy million, five hundred twenty-one thousand, one hundred twenty".