78003266294400 has 384 divisors, whose sum is σ = 263191547996160. Its totient is φ = 20298752409600.

The previous prime is 78003266294399. The next prime is 78003266294407. The reversal of 78003266294400 is 449266230087.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (78003266294407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73846782 + ... + 74895618.

It is an arithmetic number, because the mean of its divisors is an integer number (685394656240).

Almost surely, 2^{78003266294400} 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 78003266294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131595773998080).

78003266294400 is an abundant number, since it is smaller than the sum of its proper divisors (185188281701760).

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

78003266294400 is a wasteful number, since it uses less digits than its factorization.

78003266294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049052 (or 1049035 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 78003266294400 in words is "seventy-eight trillion, three billion, two hundred sixty-six million, two hundred ninety-four thousand, four hundred".