78045241414320 has 1920 divisors, whose sum is σ = 297685106933760. Its totient is φ = 18252546048000.

The previous prime is 78045241414237. The next prime is 78045241414331. The reversal of 78045241414320 is 2341414254087.

78045241414320 is a `hidden beast` number, since 7 + 8 + 0 + 45 + 241 + 41 + 4 + 320 = 666.

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 383 ways as a sum of consecutive naturals, for example, 114268288699 + ... + 114268289381.

It is an arithmetic number, because the mean of its divisors is an integer number (155044326528).

Almost surely, 2^{78045241414320} 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 78045241414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148842553466880).

78045241414320 is an abundant number, since it is smaller than the sum of its proper divisors (219639865519440).

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

78045241414320 is a wasteful number, since it uses less digits than its factorization.

78045241414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 78045241414320 in words is "seventy-eight trillion, forty-five billion, two hundred forty-one million, four hundred fourteen thousand, three hundred twenty".