7851150720 has 512 divisors, whose sum is σ = 32478105600. Its totient is φ = 1755095040.

The previous prime is 7851150679. The next prime is 7851150733. The reversal of 7851150720 is 270511587.

7851150720 is a `hidden beast` number, since 78 + 511 + 5 + 0 + 72 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5684430 + ... + 5685810.

It is an arithmetic number, because the mean of its divisors is an integer number (63433800).

Almost surely, 2^7851150720 is an apocalyptic number.

7851150720 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 7851150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16239052800).

7851150720 is an abundant number, since it is smaller than the sum of its proper divisors (24626954880).

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

7851150720 is a wasteful number, since it uses less digits than its factorization.

7851150720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The square root of 7851150720 is about 88606.7193840287. The cubic root of 7851150720 is about 1987.5181571855.

The spelling of 7851150720 in words is "seven billion, eight hundred fifty-one million, one hundred fifty thousand, seven hundred twenty".