78171770880 has 624 divisors, whose sum is σ = 317097855360. Its totient is φ = 17439916032.

The previous prime is 78171770867. The next prime is 78171770891. The reversal of 78171770880 is 8807717187.

It is a super-2 number, since 2×78171770880² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55479616 + ... + 55481024.

It is an arithmetic number, because the mean of its divisors is an integer number (508169640).

Almost surely, 2^78171770880 is an apocalyptic number.

78171770880 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 78171770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158548927680).

78171770880 is an abundant number, since it is smaller than the sum of its proper divisors (238926084480).

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

78171770880 is a wasteful number, since it uses less digits than its factorization.

78171770880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 1229312, while the sum is 54.

The spelling of 78171770880 in words is "seventy-eight billion, one hundred seventy-one million, seven hundred seventy thousand, eight hundred eighty".