7778402016 has 192 divisors, whose sum is σ = 26563977216. Its totient is φ = 1932480000.

The previous prime is 7778401987. The next prime is 7778402017. The reversal of 7778402016 is 6102048777.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7778402017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147141 + ... + 192891.

It is an arithmetic number, because the mean of its divisors is an integer number (138354048).

Almost surely, 2^7778402016 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 7778402016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13281988608).

7778402016 is an abundant number, since it is smaller than the sum of its proper divisors (18785575200).

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

7778402016 is a wasteful number, since it uses less digits than its factorization.

7778402016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45805 (or 45797 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 7778402016 is about 88195.2493958717. The cubic root of 7778402016 is about 1981.3603222165.

The spelling of 7778402016 in words is "seven billion, seven hundred seventy-eight million, four hundred two thousand, sixteen".