7778534416 has 45 divisors (see below), whose sum is σ = 16021936119. Its totient is φ = 3657664512.

The previous prime is 7778534411. The next prime is 7778534417. The reversal of 7778534416 is 6144358777.

The square root of 7778534416 is 88196.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5684556816 + 2093977600 = 75396^2 + 45760^2 .

It is a super-2 number, since 2×7778534416² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7778534411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5996680 + ... + 5997976.

Almost surely, 2^7778534416 is an apocalyptic number.

7778534416 is the 88196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7778534416

7778534416 is an abundant number, since it is smaller than the sum of its proper divisors (8243401703).

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

7778534416 is an equidigital number, since it uses as much as digits as its factorization.

7778534416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 1316 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 52.

The cubic root of 7778534416 is about 1981.3715640550.

The spelling of 7778534416 in words is "seven billion, seven hundred seventy-eight million, five hundred thirty-four thousand, four hundred sixteen".