7696120320 has 720 divisors, whose sum is σ = 32911194888. Its totient is φ = 1651507200.

The previous prime is 7696120309. The next prime is 7696120339. The reversal of 7696120320 is 230216967.

7696120320 is a `hidden beast` number, since 7 + 6 + 9 + 612 + 0 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7690588416 + 5531904 = 87696^2 + 2352^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19192120 + ... + 19192520.

Almost surely, 2^7696120320 is an apocalyptic number.

7696120320 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 7696120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16455597444).

7696120320 is an abundant number, since it is smaller than the sum of its proper divisors (25215074568).

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

7696120320 is a wasteful number, since it uses less digits than its factorization.

7696120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 7696120320 is about 87727.5345601368. The cubic root of 7696120320 is about 1974.3491158595.

The spelling of 7696120320 in words is "seven billion, six hundred ninety-six million, one hundred twenty thousand, three hundred twenty".