78308445600 has 1152 divisors, whose sum is σ = 356377190400. Its totient is φ = 16121548800.

The previous prime is 78308445571. The next prime is 78308445617. The reversal of 78308445600 is 654480387.

78308445600 is a `hidden beast` number, since 7 + 8 + 3 + 0 + 84 + 4 + 560 + 0 = 666.

It is a super-2 number, since 2×78308445600² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 327650281 + ... + 327650519.

It is an arithmetic number, because the mean of its divisors is an integer number (309355200).

Almost surely, 2^78308445600 is an apocalyptic number.

78308445600 is a gapful number since it is divisible by the number (70) 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 78308445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178188595200).

78308445600 is an abundant number, since it is smaller than the sum of its proper divisors (278068744800).

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

78308445600 is a wasteful number, since it uses less digits than its factorization.

78308445600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 78308445600 in words is "seventy-eight billion, three hundred eight million, four hundred forty-five thousand, six hundred".