7764960 has 96 divisors (see below), whose sum is σ = 27965952. Its totient is φ = 1774080.

The previous prime is 7764959. The next prime is 7764979. The reversal of 7764960 is 694677.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2205 + ... + 4515.

It is an arithmetic number, because the mean of its divisors is an integer number (291312).

Almost surely, 2^7764960 is an apocalyptic number.

7764960 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 7764960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13982976).

7764960 is an abundant number, since it is smaller than the sum of its proper divisors (20200992).

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

7764960 is a wasteful number, since it uses less digits than its factorization.

7764960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 7764960 is about 2786.5677813396. The cubic root of 7764960 is about 198.0218320993.

The spelling of 7764960 in words is "seven million, seven hundred sixty-four thousand, nine hundred sixty".