78321456360 has 512 divisors, whose sum is σ = 306063360000. Its totient is φ = 17664521472.

The previous prime is 78321456341. The next prime is 78321456373. The reversal of 78321456360 is 6365412387.

78321456360 is a `hidden beast` number, since 7 + 8 + 3 + 2 + 1 + 4 + 5 + 636 + 0 = 666.

It is a super-2 number, since 2×78321456360² (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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48375631 + ... + 48377249.

It is an arithmetic number, because the mean of its divisors is an integer number (597780000).

Almost surely, 2^78321456360 is an apocalyptic number.

78321456360 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 78321456360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153031680000).

78321456360 is an abundant number, since it is smaller than the sum of its proper divisors (227741903640).

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

78321456360 is a wasteful number, since it uses less digits than its factorization.

78321456360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 78321456360 in words is "seventy-eight billion, three hundred twenty-one million, four hundred fifty-six thousand, three hundred sixty".