78414780864 has 112 divisors (see below), whose sum is σ = 237341664000. Its totient is φ = 22382462976.

The previous prime is 78414780859. The next prime is 78414780883. The reversal of 78414780864 is 46808741487.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×78414780864² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1382047 + ... + 1437665.

It is an arithmetic number, because the mean of its divisors is an integer number (2119122000).

Almost surely, 2^78414780864 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 78414780864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118670832000).

78414780864 is an abundant number, since it is smaller than the sum of its proper divisors (158926883136).

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

78414780864 is a wasteful number, since it uses less digits than its factorization.

78414780864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56690 (or 56680 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 57.

The spelling of 78414780864 in words is "seventy-eight billion, four hundred fourteen million, seven hundred eighty thousand, eight hundred sixty-four".