7851280320 has 672 divisors, whose sum is σ = 31682131200. Its totient is φ = 1824436224.

The previous prime is 7851280319. The next prime is 7851280331. The reversal of 7851280320 is 230821587.

7851280320 is a `hidden beast` number, since 7 + 8 + 51 + 280 + 320 = 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 95 ways as a sum of consecutive naturals, for example, 27742899 + ... + 27743181.

Almost surely, 2^7851280320 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 7851280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15841065600).

7851280320 is an abundant number, since it is smaller than the sum of its proper divisors (23830850880).

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

7851280320 is a wasteful number, since it uses less digits than its factorization.

7851280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 7851280320 is about 88607.4507025228. The cubic root of 7851280320 is about 1987.5290932018.

The spelling of 7851280320 in words is "seven billion, eight hundred fifty-one million, two hundred eighty thousand, three hundred twenty".