7104778128 has 180 divisors, whose sum is σ = 23236085340. Its totient is φ = 2020612608.

The previous prime is 7104778123. The next prime is 7104778133. The reversal of 7104778128 is 8218774017.

It is an interprime number because it is at equal distance from previous prime (7104778123) and next prime (7104778133).

It can be written as a sum of positive squares in 2 ways, for example, as 5255090064 + 1849688064 = 72492^2 + 43008^2 .

It is a super-3 number, since 3×7104778128³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (7104778123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1613626 + ... + 1618022.

It is an arithmetic number, because the mean of its divisors is an integer number (129089363).

Almost surely, 2^7104778128 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 7104778128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11618042670).

7104778128 is an abundant number, since it is smaller than the sum of its proper divisors (16131307212).

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

7104778128 is a wasteful number, since it uses less digits than its factorization.

7104778128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4654 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 45.

The square root of 7104778128 is about 84289.8459365065. The cubic root of 7104778128 is about 1922.4283986426.

The spelling of 7104778128 in words is "seven billion, one hundred four million, seven hundred seventy-eight thousand, one hundred twenty-eight".