7698000960 has 336 divisors, whose sum is σ = 29290615536. Its totient is φ = 1843347456.

The previous prime is 7698000929. The next prime is 7698000967. The reversal of 7698000960 is 690008967.

It can be written as a sum of positive squares in 8 ways, for example, as 410305536 + 7287695424 = 20256^2 + 85368^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7698000967) 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, 1382502 + ... + 1388058.

It is an arithmetic number, because the mean of its divisors is an integer number (87174451).

Almost surely, 2^7698000960 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 7698000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14645307768).

7698000960 is an abundant number, since it is smaller than the sum of its proper divisors (21592614576).

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

7698000960 is a wasteful number, since it uses less digits than its factorization.

7698000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5630 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 7698000960 is about 87738.2525469934. The cubic root of 7698000960 is about 1974.5099214501.

The spelling of 7698000960 in words is "seven billion, six hundred ninety-eight million, nine hundred sixty", and thus it is an aban number.