78248980800 has 420 divisors, whose sum is σ = 300140376096. Its totient is φ = 19958400000.

The previous prime is 78248980783. The next prime is 78248980861. The reversal of 78248980800 is 808984287.

78248980800 is a `hidden beast` number, since 7 + 8 + 2 + 489 + 80 + 80 + 0 = 666.

It is a super-2 number, since 2×78248980800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2967675 + ... + 2993925.

Almost surely, 2^78248980800 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 78248980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150070188048).

78248980800 is an abundant number, since it is smaller than the sum of its proper divisors (221891395296).

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

78248980800 is a wasteful number, since it uses less digits than its factorization.

78248980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26308 (or 26284 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 78248980800 in words is "seventy-eight billion, two hundred forty-eight million, nine hundred eighty thousand, eight hundred".