7704668160 has 480 divisors, whose sum is σ = 31584833280. Its totient is φ = 1759739904.

The previous prime is 7704668077. The next prime is 7704668201. The reversal of 7704668160 is 618664077.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×7704668160² (a number of 21 digits) contains 22 as substring.

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

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, 5805417 + ... + 5806743.

It is an arithmetic number, because the mean of its divisors is an integer number (65801736).

Almost surely, 2^7704668160 is an apocalyptic number.

7704668160 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 7704668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15792416640).

7704668160 is an abundant number, since it is smaller than the sum of its proper divisors (23880165120).

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

7704668160 is a wasteful number, since it uses less digits than its factorization.

7704668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7704668160 is about 87776.2391538849. The cubic root of 7704668160 is about 1975.0797946717.

The spelling of 7704668160 in words is "seven billion, seven hundred four million, six hundred sixty-eight thousand, one hundred sixty".