78213723446304 has 72 divisors (see below), whose sum is σ = 222427189218780. Its totient is φ = 26070430814208.

The previous prime is 78213723446303. The next prime is 78213723446323. The reversal of 78213723446304 is 40364432731287.

78213723446304 is a `hidden beast` number, since 7 + 82 + 1 + 3 + 72 + 34 + 463 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75445692658704 + 2768030787600 = 8685948^2 + 1663740^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×78213723446304² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78213723446303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5097192 + ... + 13505880.

Almost surely, 2^{78213723446304} is an apocalyptic number.

It is an amenable number.

78213723446304 is an abundant number, since it is smaller than the sum of its proper divisors (144213465772476).

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

78213723446304 is a wasteful number, since it uses less digits than its factorization.

78213723446304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8441002 (or 8440991 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 78213723446304 in words is "seventy-eight trillion, two hundred thirteen billion, seven hundred twenty-three million, four hundred forty-six thousand, three hundred four".