7766016 has 64 divisors (see below), whose sum is σ = 20971200. Its totient is φ = 2555904.

The previous prime is 7766009. The next prime is 7766021. The reversal of 7766016 is 6106677.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×7766016² = 120622009024512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98265 + ... + 98343.

It is an arithmetic number, because the mean of its divisors is an integer number (327675).

Almost surely, 2^7766016 is an apocalyptic number.

7766016 is the 1763-rd centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7766016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10485600).

7766016 is an abundant number, since it is smaller than the sum of its proper divisors (13205184).

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

7766016 is an frugal number, since it uses more digits than its factorization.

7766016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 7766016 is about 2786.7572553059. The cubic root of 7766016 is about 198.0308083884.

The spelling of 7766016 in words is "seven million, seven hundred sixty-six thousand, sixteen".