7760640 has 144 divisors (see below), whose sum is σ = 25901568. Its totient is φ = 1978368.

The previous prime is 7760617. The next prime is 7760647. The reversal of 7760640 is 460677.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 7760598 and 7760607.

It is not an unprimeable number, because it can be changed into a prime (7760647) 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, 165097 + ... + 165143.

It is an arithmetic number, because the mean of its divisors is an integer number (179872).

Almost surely, 2^7760640 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 7760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12950784).

7760640 is an abundant number, since it is smaller than the sum of its proper divisors (18140928).

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

7760640 is a wasteful number, since it uses less digits than its factorization.

7760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 7760640 is about 2785.7925263738. The cubic root of 7760640 is about 197.9851024400.

The spelling of 7760640 in words is "seven million, seven hundred sixty thousand, six hundred forty".