7776216 has 128 divisors (see below), whose sum is σ = 25536000. Its totient is φ = 2146176.

The previous prime is 7776211. The next prime is 7776239. The reversal of 7776216 is 6126777.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7776211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55875 + ... + 56013.

It is an arithmetic number, because the mean of its divisors is an integer number (199500).

Almost surely, 2^7776216 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 7776216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12768000).

7776216 is an abundant number, since it is smaller than the sum of its proper divisors (17759784).

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

7776216 is a wasteful number, since it uses less digits than its factorization.

7776216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 7776216 is about 2788.5867388338. The cubic root of 7776216 is about 198.1174693207.

It can be divided in two parts, 7776 and 216, that multiplied together give a 8-th power (1679616 = 6⁸).

The spelling of 7776216 in words is "seven million, seven hundred seventy-six thousand, two hundred sixteen".