78852533760 has 1440 divisors, whose sum is σ = 370080741888. Its totient is φ = 15067054080.

The previous prime is 78852533737. The next prime is 78852533803. The reversal of 78852533760 is 6733525887.

78852533760 is a `hidden beast` number, since 7 + 88 + 525 + 3 + 37 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a junction number, because it is equal to n+sod(n) for n = 78852533697 and 78852533706.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 299819389 + ... + 299819651.

Almost surely, 2^78852533760 is an apocalyptic number.

78852533760 is a gapful number since it is divisible by the number (70) 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 78852533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185040370944).

78852533760 is an abundant number, since it is smaller than the sum of its proper divisors (291228208128).

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

78852533760 is a wasteful number, since it uses less digits than its factorization.

78852533760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 78852533760 in words is "seventy-eight billion, eight hundred fifty-two million, five hundred thirty-three thousand, seven hundred sixty".