78179780448 has 576 divisors, whose sum is σ = 292667074560. Its totient is φ = 19865640960.

The previous prime is 78179780333. The next prime is 78179780473. The reversal of 78179780448 is 84408797187.

It is a super-2 number, since 2×78179780448² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34393840 + ... + 34396112.

It is an arithmetic number, because the mean of its divisors is an integer number (508102560).

Almost surely, 2^78179780448 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 78179780448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146333537280).

78179780448 is an abundant number, since it is smaller than the sum of its proper divisors (214487294112).

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

78179780448 is a wasteful number, since it uses less digits than its factorization.

78179780448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 78179780448 in words is "seventy-eight billion, one hundred seventy-nine million, seven hundred eighty thousand, four hundred forty-eight".