78120390240 has 288 divisors, whose sum is σ = 276245030880. Its totient is φ = 20079747072.

The previous prime is 78120390199. The next prime is 78120390251. The reversal of 78120390240 is 4209302187.

78120390240 is a `hidden beast` number, since 7 + 8 + 1 + 20 + 390 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×78120390240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 78120390195 and 78120390204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32863932 + ... + 32866308.

It is an arithmetic number, because the mean of its divisors is an integer number (959184135).

Almost surely, 2^78120390240 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 78120390240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138122515440).

78120390240 is an abundant number, since it is smaller than the sum of its proper divisors (198124640640).

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

78120390240 is a wasteful number, since it uses less digits than its factorization.

78120390240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 78120390240 in words is "seventy-eight billion, one hundred twenty million, three hundred ninety thousand, two hundred forty".