78358855680 has 900 divisors, whose sum is σ = 328143286548. Its totient is φ = 17836277760.

The previous prime is 78358855657. The next prime is 78358855727. The reversal of 78358855680 is 8655885387.

78358855680 is a `hidden beast` number, since 78 + 3 + 5 + 8 + 8 + 556 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43958992896 + 34399862784 = 209664^2 + 185472^2 .

It is a super-2 number, since 2×78358855680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 325140360 + ... + 325140600.

Almost surely, 2^78358855680 is an apocalyptic number.

78358855680 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 78358855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164071643274).

78358855680 is an abundant number, since it is smaller than the sum of its proper divisors (249784430868).

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

78358855680 is an equidigital number, since it uses as much as digits as its factorization.

78358855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 78358855680 in words is "seventy-eight billion, three hundred fifty-eight million, eight hundred fifty-five thousand, six hundred eighty".