776016 has 60 divisors (see below), whose sum is σ = 2306772. Its totient is φ = 242688.

The previous prime is 776003. The next prime is 776029. The reversal of 776016 is 610677.

It is an interprime number because it is at equal distance from previous prime (776003) and next prime (776029).

It can be written as a sum of positive squares in 2 ways, for example, as 291600 + 484416 = 540^2 + 696^2 .

It is a congruent number.

It is an unprimeable number.

776016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2290 + ... + 2606.

2⁷⁷⁶⁰¹⁶ 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 776016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153386).

776016 is an abundant number, since it is smaller than the sum of its proper divisors (1530756).

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

776016 is a wasteful number, since it uses less digits than its factorization.

776016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 776016 is about 880.9177033072. The cubic root of 776016 is about 91.8946494138.

It can be divided in two parts, 7760 and 16, that added together give a 5-th power (7776 = 6⁵).

The spelling of 776016 in words is "seven hundred seventy-six thousand, sixteen".