78220433346 has 64 divisors (see below), whose sum is σ = 173544892416. Its totient is φ = 23303246400.

The previous prime is 78220433341. The next prime is 78220433351. The reversal of 78220433346 is 64333402287.

It is an interprime number because it is at equal distance from previous prime (78220433341) and next prime (78220433351).

It is a super-2 number, since 2×78220433346² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 78220433298 and 78220433307.

It is not an unprimeable number, because it can be changed into a prime (78220433341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12167385 + ... + 12173811.

It is an arithmetic number, because the mean of its divisors is an integer number (2711638944).

Almost surely, 2^78220433346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78220433346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86772446208).

78220433346 is an abundant number, since it is smaller than the sum of its proper divisors (95324459070).

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

78220433346 is a wasteful number, since it uses less digits than its factorization.

78220433346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9527.

The product of its (nonzero) digits is 580608, while the sum is 42.

It can be divided in two parts, 78220 and 433346, that added together give a triangular number (511566 = T₁₀₁₁).

The spelling of 78220433346 in words is "seventy-eight billion, two hundred twenty million, four hundred thirty-three thousand, three hundred forty-six".