78839308800 has 1680 divisors, whose sum is σ = 359378819712. Its totient is φ = 16721510400.

The previous prime is 78839308753. The next prime is 78839308819. The reversal of 78839308800 is 880393887.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×78839308800² (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 167 ways as a sum of consecutive naturals, for example, 1110412765 + ... + 1110412835.

Almost surely, 2^78839308800 is an apocalyptic number.

78839308800 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 78839308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179689409856).

78839308800 is an abundant number, since it is smaller than the sum of its proper divisors (280539510912).

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

78839308800 is an equidigital number, since it uses as much as digits as its factorization.

78839308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 78839308800 in words is "seventy-eight billion, eight hundred thirty-nine million, three hundred eight thousand, eight hundred".