78302286454896 has 360 divisors, whose sum is σ = 266405230369824. Its totient is φ = 21027293798400.

The previous prime is 78302286454831. The next prime is 78302286454921. The reversal of 78302286454896 is 69845468220387.

78302286454896 is a `hidden beast` number, since 7 + 8 + 3 + 0 + 2 + 2 + 86 + 454 + 8 + 96 = 666.

It is a super-2 number, since 2×78302286454896² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 213348346 + ... + 213715046.

Almost surely, 2^{78302286454896} 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 78302286454896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133202615184912).

78302286454896 is an abundant number, since it is smaller than the sum of its proper divisors (188102943914928).

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

78302286454896 is a wasteful number, since it uses less digits than its factorization.

78302286454896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367489 (or 367463 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 78302286454896 in words is "seventy-eight trillion, three hundred two billion, two hundred eighty-six million, four hundred fifty-four thousand, eight hundred ninety-six".