7769664 has 168 divisors, whose sum is σ = 26627328. Its totient is φ = 2119680.

The previous prime is 7769647. The next prime is 7769669. The reversal of 7769664 is 4669677.

7769664 = T₁₈₇ + T₁₈₈ + ... + T₃₇₅.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7769669) 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, 165289 + ... + 165335.

It is an arithmetic number, because the mean of its divisors is an integer number (158496).

Almost surely, 2^7769664 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 7769664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13313664).

7769664 is an abundant number, since it is smaller than the sum of its proper divisors (18857664).

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

7769664 is a wasteful number, since it uses less digits than its factorization.

7769664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 100 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 7769664 is about 2787.4117026374. The cubic root of 7769664 is about 198.0618111274.

It can be divided in two parts, 776 and 9664, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 7769664 in words is "seven million, seven hundred sixty-nine thousand, six hundred sixty-four".