78057702648 has 256 divisors, whose sum is σ = 231030374400. Its totient is φ = 24380559360.

The previous prime is 78057702647. The next prime is 78057702649. The reversal of 78057702648 is 84620775087.

It is a happy number.

78057702648 is a `hidden beast` number, since 7 + 8 + 0 + 577 + 0 + 2 + 64 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (78057702647) and next prime (78057702649).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 78057702594 and 78057702603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78057702647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30525786 + ... + 30528342.

It is an arithmetic number, because the mean of its divisors is an integer number (902462400).

Almost surely, 2^78057702648 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 78057702648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115515187200).

78057702648 is an abundant number, since it is smaller than the sum of its proper divisors (152972671752).

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

78057702648 is a wasteful number, since it uses less digits than its factorization.

78057702648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 78057702648 in words is "seventy-eight billion, fifty-seven million, seven hundred two thousand, six hundred forty-eight".