78340605420 has 576 divisors, whose sum is σ = 288059563008. Its totient is φ = 15556147200.

The previous prime is 78340605397. The next prime is 78340605493. The reversal of 78340605420 is 2450604387.

It is a happy number.

It is a super-2 number, since 2×78340605420² (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 191 ways as a sum of consecutive naturals, for example, 114700399 + ... + 114701081.

It is an arithmetic number, because the mean of its divisors is an integer number (500103408).

Almost surely, 2^78340605420 is an apocalyptic number.

78340605420 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 78340605420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144029781504).

78340605420 is an abundant number, since it is smaller than the sum of its proper divisors (209718957588).

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

78340605420 is a wasteful number, since it uses less digits than its factorization.

78340605420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 78340605420 in words is "seventy-eight billion, three hundred forty million, six hundred five thousand, four hundred twenty".