78205952448 has 504 divisors, whose sum is σ = 260565046560. Its totient is φ = 22285025280.

The previous prime is 78205952413. The next prime is 78205952479. The reversal of 78205952448 is 84425950287.

78205952448 is a `hidden beast` number, since 7 + 8 + 2 + 0 + 595 + 2 + 4 + 48 = 666.

It is a super-2 number, since 2×78205952448² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78205952394 and 78205952403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 153646018 + ... + 153646526.

It is an arithmetic number, because the mean of its divisors is an integer number (516994140).

Almost surely, 2^78205952448 is an apocalyptic number.

78205952448 is a gapful number since it is divisible by the number (78) 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 78205952448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130282523280).

78205952448 is an abundant number, since it is smaller than the sum of its proper divisors (182359094112).

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

78205952448 is a wasteful number, since it uses less digits than its factorization.

78205952448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 78205952448 in words is "seventy-eight billion, two hundred five million, nine hundred fifty-two thousand, four hundred forty-eight".