78321245760 has 280 divisors, whose sum is σ = 285085633536. Its totient is φ = 20399662080.

The previous prime is 78321245741. The next prime is 78321245771. The reversal of 78321245760 is 6754212387.

78321245760 is a `hidden beast` number, since 78 + 3 + 2 + 1 + 2 + 4 + 576 + 0 = 666.

It is a super-2 number, since 2×78321245760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1079425 + ... + 1149695.

Almost surely, 2^78321245760 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 78321245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142542816768).

78321245760 is an abundant number, since it is smaller than the sum of its proper divisors (206764387776).

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

78321245760 is a wasteful number, since it uses less digits than its factorization.

78321245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70343 (or 70324 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 78321245760 in words is "seventy-eight billion, three hundred twenty-one million, two hundred forty-five thousand, seven hundred sixty".