78217850880 has 1092 divisors, whose sum is σ = 314564280768. Its totient is φ = 18632540160.

The previous prime is 78217850869. The next prime is 78217850891. The reversal of 78217850880 is 8805871287.

It is an interprime number because it is at equal distance from previous prime (78217850869) and next prime (78217850891).

It is a super-2 number, since 2×78217850880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2523156465 + ... + 2523156495.

Almost surely, 2^78217850880 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 78217850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157282140384).

78217850880 is an abundant number, since it is smaller than the sum of its proper divisors (236346429888).

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

78217850880 is an equidigital number, since it uses as much as digits as its factorization.

78217850880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 54.

The spelling of 78217850880 in words is "seventy-eight billion, two hundred seventeen million, eight hundred fifty thousand, eight hundred eighty".