78726211200 has 3072 divisors, whose sum is σ = 407973888000. Its totient is φ = 14332723200.

The previous prime is 78726211189. The next prime is 78726211241. The reversal of 78726211200 is 211262787.

78726211200 is a `hidden beast` number, since 7 + 8 + 7 + 2 + 621 + 1 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2539555185 + ... + 2539555215.

It is an arithmetic number, because the mean of its divisors is an integer number (132804000).

Almost surely, 2^78726211200 is an apocalyptic number.

78726211200 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 78726211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203986944000).

78726211200 is an abundant number, since it is smaller than the sum of its proper divisors (329247676800).

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

78726211200 is a wasteful number, since it uses less digits than its factorization.

78726211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 78726211200 its reverse (211262787), we get a palindrome (78937473987).

The spelling of 78726211200 in words is "seventy-eight billion, seven hundred twenty-six million, two hundred eleven thousand, two hundred".