7778229120 has 640 divisors, whose sum is σ = 29991060000. Its totient is φ = 1915011072.

The previous prime is 7778229103. The next prime is 7778229143. The reversal of 7778229120 is 219228777.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52202806 + ... + 52202954.

Almost surely, 2^7778229120 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 7778229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14995530000).

7778229120 is an abundant number, since it is smaller than the sum of its proper divisors (22212830880).

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

7778229120 is a wasteful number, since it uses less digits than its factorization.

7778229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 7778229120 is about 88194.2692015757. The cubic root of 7778229120 is about 1981.3456417456.

The spelling of 7778229120 in words is "seven billion, seven hundred seventy-eight million, two hundred twenty-nine thousand, one hundred twenty".