78442417872 has 560 divisors, whose sum is σ = 282522417408. Its totient is φ = 20536104960.

The previous prime is 78442417829. The next prime is 78442417883. The reversal of 78442417872 is 27871424487.

78442417872 is a `hidden beast` number, since 7 + 84 + 424 + 1 + 78 + 72 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 279154372 + ... + 279154652.

Almost surely, 2^78442417872 is an apocalyptic number.

78442417872 is a gapful number since it is divisible by the number (72) 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 78442417872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141261208704).

78442417872 is an abundant number, since it is smaller than the sum of its proper divisors (204079999536).

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

78442417872 is a wasteful number, since it uses less digits than its factorization.

78442417872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 569 counting only the distinct ones).

The product of its digits is 5619712, while the sum is 54.

The spelling of 78442417872 in words is "seventy-eight billion, four hundred forty-two million, four hundred seventeen thousand, eight hundred seventy-two".