7961386320 has 200 divisors, whose sum is σ = 27775014696. Its totient is φ = 2113523712.

The previous prime is 7961386219. The next prime is 7961386369. The reversal of 7961386320 is 236831697.

7961386320 is a `hidden beast` number, since 7 + 9 + 6 + 1 + 3 + 8 + 632 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 201185856 + 7760200464 = 14184^2 + 88092^2 .

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1507204 + ... + 1512476.

Almost surely, 2^7961386320 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 7961386320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13887507348).

7961386320 is an abundant number, since it is smaller than the sum of its proper divisors (19813628376).

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

7961386320 is a wasteful number, since it uses less digits than its factorization.

7961386320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5531 (or 5516 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 7961386320 is about 89226.6009663038. The cubic root of 7961386320 is about 1996.7770022661. Note that the first 3 decimals are identical.

The spelling of 7961386320 in words is "seven billion, nine hundred sixty-one million, three hundred eighty-six thousand, three hundred twenty".