7860634320 has 240 divisors, whose sum is σ = 30611790720. Its totient is φ = 1633336320.

The previous prime is 7860634303. The next prime is 7860634321. The reversal of 7860634320 is 234360687.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7860634321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183946 + ... + 222614.

It is an arithmetic number, because the mean of its divisors is an integer number (127549128).

Almost surely, 2^7860634320 is an apocalyptic number.

7860634320 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 7860634320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15305895360).

7860634320 is an abundant number, since it is smaller than the sum of its proper divisors (22751156400).

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

7860634320 is a wasteful number, since it uses less digits than its factorization.

7860634320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38714 (or 38697 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 7860634320 is about 88660.2183620140. The cubic root of 7860634320 is about 1988.3180927038.

The spelling of 7860634320 in words is "seven billion, eight hundred sixty million, six hundred thirty-four thousand, three hundred twenty".