78242260320 has 144 divisors (see below), whose sum is σ = 305144854560. Its totient is φ = 17883942912.

The previous prime is 78242260303. The next prime is 78242260331. The reversal of 78242260320 is 2306224287.

It is a happy number.

78242260320 is a `hidden beast` number, since 7 + 8 + 2 + 4 + 22 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×78242260320² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3870985 + ... + 3891144.

It is an arithmetic number, because the mean of its divisors is an integer number (2119061490).

Almost surely, 2^78242260320 is an apocalyptic number.

78242260320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

78242260320 is an abundant number, since it is smaller than the sum of its proper divisors (226902594240).

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

78242260320 is a wasteful number, since it uses less digits than its factorization.

78242260320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7762157 (or 7762146 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 78242260320 in words is "seventy-eight billion, two hundred forty-two million, two hundred sixty thousand, three hundred twenty".