7720960 has 104 divisors (see below), whose sum is σ = 20641320. Its totient is φ = 2752512.

The previous prime is 7720957. The next prime is 7720967. The reversal of 7720960 is 690277.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 7573504 = 384^2 + 2752^2 .

It is a tau number, because it is divible by the number of its divisors (104).

It is a super-2 number, since 2×7720960² = 119226446643200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7720967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266226 + ... + 266254.

Almost surely, 2^7720960 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 7720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10320660).

7720960 is an abundant number, since it is smaller than the sum of its proper divisors (12920360).

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

7720960 is a wasteful number, since it uses less digits than its factorization.

7720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 7720960 is about 2778.6615482998. The cubic root of 7720960 is about 197.6470943933.

The spelling of 7720960 in words is "seven million, seven hundred twenty thousand, nine hundred sixty".