78010328448 has 512 divisors, whose sum is σ = 259553280000. Its totient is φ = 22902497280.

The previous prime is 78010328441. The next prime is 78010328471. The reversal of 78010328448 is 84482301087.

78010328448 is a `hidden beast` number, since 7 + 80 + 103 + 28 + 448 = 666.

It is a super-2 number, since 2×78010328448² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78010328441) 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, 110028318 + ... + 110029026.

It is an arithmetic number, because the mean of its divisors is an integer number (506940000).

Almost surely, 2^78010328448 is an apocalyptic number.

78010328448 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78010328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129776640000).

78010328448 is an abundant number, since it is smaller than the sum of its proper divisors (181542951552).

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

78010328448 is a wasteful number, since it uses less digits than its factorization.

78010328448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 78010328448 in words is "seventy-eight billion, ten million, three hundred twenty-eight thousand, four hundred forty-eight".