78245395614720 has 1408 divisors, whose sum is σ = 288268601414400. Its totient is φ = 20118188851200.

The previous prime is 78245395614679. The next prime is 78245395614733. The reversal of 78245395614720 is 2741659354287.

It is a happy number.

78245395614720 is a `hidden beast` number, since 7 + 8 + 2 + 4 + 5 + 3 + 9 + 5 + 614 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×78245395614720² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102819179140 + ... + 102819179900.

It is a 1-persistent number, because it is pandigital, but 2⋅78245395614720 = 156490791229440 is not.

Almost surely, 2^{78245395614720} 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 78245395614720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144134300707200).

78245395614720 is an abundant number, since it is smaller than the sum of its proper divisors (210023205799680).

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

78245395614720 is a wasteful number, since it uses less digits than its factorization.

78245395614720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 78245395614720 in words is "seventy-eight trillion, two hundred forty-five billion, three hundred ninety-five million, six hundred fourteen thousand, seven hundred twenty".