78534299450880 has 3200 divisors, whose sum is σ = 356169441196800. Its totient is φ = 16433900421120.

The previous prime is 78534299450869. The next prime is 78534299450987. The reversal of 78534299450880 is 8805499243587.

78534299450880 is a `hidden beast` number, since 7 + 8 + 5 + 3 + 4 + 2 + 99 + 450 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 78534299450799 and 78534299450808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 145165063410 + ... + 145165063950.

It is an arithmetic number, because the mean of its divisors is an integer number (111302950374).

Almost surely, 2^{78534299450880} is an apocalyptic number.

78534299450880 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 78534299450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178084720598400).

78534299450880 is an abundant number, since it is smaller than the sum of its proper divisors (277635141745920).

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

78534299450880 is a wasteful number, since it uses less digits than its factorization.

78534299450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 78534299450880 in words is "seventy-eight trillion, five hundred thirty-four billion, two hundred ninety-nine million, four hundred fifty thousand, eight hundred eighty".