78731528394400 has 432 divisors, whose sum is σ = 231494302916352. Its totient is φ = 26043849216000.

The previous prime is 78731528394373. The next prime is 78731528394461. The reversal of 78731528394400 is 449382513787.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 402133332 + ... + 402329068.

It is an arithmetic number, because the mean of its divisors is an integer number (535866441936).

Almost surely, 2^{78731528394400} is an apocalyptic number.

78731528394400 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 78731528394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115747151458176).

78731528394400 is an abundant number, since it is smaller than the sum of its proper divisors (152762774521952).

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

78731528394400 is a wasteful number, since it uses less digits than its factorization.

78731528394400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196133 (or 196113 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 61.

The spelling of 78731528394400 in words is "seventy-eight trillion, seven hundred thirty-one billion, five hundred twenty-eight million, three hundred ninety-four thousand, four hundred".