78145607680 has 384 divisors, whose sum is σ = 230368320000. Its totient is φ = 25360957440.

The previous prime is 78145607677. The next prime is 78145607681. The reversal of 78145607680 is 8670654187.

It is a super-2 number, since 2×78145607680² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78145607681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66733495 + ... + 66734665.

It is an arithmetic number, because the mean of its divisors is an integer number (599917500).

Almost surely, 2^78145607680 is an apocalyptic number.

78145607680 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 78145607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115184160000).

78145607680 is an abundant number, since it is smaller than the sum of its proper divisors (152222712320).

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

78145607680 is a wasteful number, since it uses less digits than its factorization.

78145607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 78145607680 in words is "seventy-eight billion, one hundred forty-five million, six hundred seven thousand, six hundred eighty".