78300223585920 has 1024 divisors, whose sum is σ = 322679297203200. Its totient is φ = 17573511168000.

The previous prime is 78300223585897. The next prime is 78300223585949. The reversal of 78300223585920 is 2958532200387.

It is a happy number.

78300223585920 is a `hidden beast` number, since 7 + 8 + 30 + 0 + 2 + 2 + 3 + 585 + 9 + 20 = 666.

78300223585920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×78300223585920² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4434505732 + ... + 4434523388.

It is an arithmetic number, because the mean of its divisors is an integer number (315116501175).

Almost surely, 2^{78300223585920} is an apocalyptic number.

78300223585920 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 78300223585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161339648601600).

78300223585920 is an abundant number, since it is smaller than the sum of its proper divisors (244379073617280).

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

78300223585920 is a wasteful number, since it uses less digits than its factorization.

78300223585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18354 (or 18336 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 78300223585920 in words is "seventy-eight trillion, three hundred billion, two hundred twenty-three million, five hundred eighty-five thousand, nine hundred twenty".