78928340400000 has 3456 divisors, whose sum is σ = 360324067783680. Its totient is φ = 16227993600000.

The previous prime is 78928340399971. The next prime is 78928340400047. The reversal of 78928340400000 is 404382987.

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 431 ways as a sum of consecutive naturals, for example, 183128399785 + ... + 183128400215.

It is an arithmetic number, because the mean of its divisors is an integer number (104260436280).

Almost surely, 2^{78928340400000} is an apocalyptic number.

78928340400000 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 78928340400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180162033891840).

78928340400000 is an abundant number, since it is smaller than the sum of its proper divisors (281395727383680).

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

78928340400000 is a wasteful number, since it uses less digits than its factorization.

78928340400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

Adding to 78928340400000 its reverse (404382987), we get a palindrome (78928744782987).

The spelling of 78928340400000 in words is "seventy-eight trillion, nine hundred twenty-eight billion, three hundred forty million, four hundred thousand".