7712640 has 192 divisors, whose sum is σ = 28959840. Its totient is φ = 1880064.

The previous prime is 7712623. The next prime is 7712641. The reversal of 7712640 is 462177.

7712640 is a `hidden beast` number, since 7 + 7 + 12 + 640 = 666.

7712640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7712641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74829 + ... + 74931.

Almost surely, 2^7712640 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 7712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14479920).

7712640 is an abundant number, since it is smaller than the sum of its proper divisors (21247200).

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

7712640 is a wasteful number, since it uses less digits than its factorization.

7712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7712640 is about 2777.1640210834. The cubic root of 7712640 is about 197.5760749498.

The spelling of 7712640 in words is "seven million, seven hundred twelve thousand, six hundred forty".