78241305784320 has 1664 divisors, whose sum is σ = 327174405212160. Its totient is φ = 17586251366400.

The previous prime is 78241305784277. The next prime is 78241305784337. The reversal of 78241305784320 is 2348750314287.

It is a happy number.

78241305784320 is a `hidden beast` number, since 7 + 8 + 2 + 4 + 1 + 3 + 0 + 578 + 43 + 20 = 666.

It is a super-2 number, since 2×78241305784320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 19125225475 + ... + 19125229565.

Almost surely, 2^{78241305784320} is an apocalyptic number.

78241305784320 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 78241305784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163587202606080).

78241305784320 is an abundant number, since it is smaller than the sum of its proper divisors (248933099427840).

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

78241305784320 is an frugal number, since it uses more digits than its factorization.

78241305784320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4209 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 78241305784320 in words is "seventy-eight trillion, two hundred forty-one billion, three hundred five million, seven hundred eighty-four thousand, three hundred twenty".