776216 has 32 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 326688.

The previous prime is 776201. The next prime is 776219. The reversal of 776216 is 612677.

776216 = T₁ + T₂ + ... + T₁₆₆.

776216 is a nontrivial binomial coefficient, being equal to C(168, 3).

It is a super-2 number, since 2×776216² = 1205022557312, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 776216.

It is not an unprimeable number, because it can be changed into a prime (776219) by changing a digit.

It is the 166-th tetrahedral number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4565 + ... + 4731.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2⁷⁷⁶²¹⁶ 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 776216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

776216 is an abundant number, since it is smaller than the sum of its proper divisors (917224).

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

776216 is a wasteful number, since it uses less digits than its factorization.

776216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

The product of its digits is 3528, while the sum is 29.

The square root of 776216 is about 881.0312139760. The cubic root of 776216 is about 91.9025433022.

The spelling of 776216 in words is "seven hundred seventy-six thousand, two hundred sixteen".