7651680 has 96 divisors (see below), whose sum is σ = 25401600. Its totient is φ = 1930752.

The previous prime is 7651673. The next prime is 7651681. The reversal of 7651680 is 861567.

7651680 = T₇₁ + T₇₂ + ... + T₃₅₈.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7651681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8701 + ... + 9539.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 2^7651680 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 7651680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800).

7651680 is an abundant number, since it is smaller than the sum of its proper divisors (17749920).

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

7651680 is a wasteful number, since it uses less digits than its factorization.

7651680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 7651680 is about 2766.1670231568. The cubic root of 7651680 is about 197.0541563940.

The spelling of 7651680 in words is "seven million, six hundred fifty-one thousand, six hundred eighty".